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Q:

(1. A slot machine has \( 3 \) dials. Each dial has \( 40 \) positions, two of which are "Jackpot." To win the jackpot, all three dials must be in the "Jackpot" position. Assuming each play spins the dials and stops each independently and randomly, what are the odds of one play winning the jackpot? 

(A) \( \frac { 1 } { 40 } \times \frac { 1 } { 40 } \times \frac { 1 } { 40 } = \frac { 1 } { 64000 } = 0.0000156 = 0.00156 \% \)

(B)\(\frac { 1} { 3} \times \frac { 1} { 3} \times \frac { 1} { 3} = \frac { 1} { 27} = 0.037= 3.7\% \) 

(C) \( \frac { 1 } { 20 } \times \frac { 1 } { 20 } \times \frac { 1 } { 20 } = \frac { 1 } { 8000 } = 0.000125 = 0.0125 \% \) 

(D) \( \frac { 3 } { 40 } \times \frac { 3 } { 40 } \times \frac { 3 } { 40 } = \frac { 9 } { 64000 } = 0.00014 = 0.014 \% \) 

Q:

A media personality argues that global temperatures are not rising, because every year an increase is reported, such as \( 0.09 \) degrees C. The difference from the previous year is less than the margin of error of about \( 0.13 \) degrees C, so that difference should be ignored. What is the best counterargument? 

(A) The margin of error is larger than the increase, so we should consider it an issue of just extra information and thus can be ignored. 

(B) The difference is only \( 0.04 \) , but that is still a significant change. 

(C) The change of \( 0.09 \) is not a lot and thus should be ignored. 

(D) The margin of error is quite small compared to the change year over year, so it is a significant issue. 

Q:

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of \( 248 \) feet and a standard deviation of \( 43 \) feet. 

Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. 

a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than \( 192 \) feet? 

\( P \) (fewer than \( 192 \) feet) 

b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than \( 210 \) feet? 

\( P \) (more than \( 210 \) feet) 

Q:

The weights for newborn babies is approximately normally distributed with a mean of \( 5.8 \) pounds and a standard deviation of \( 1.4 \) pounds. 

Consider a group of \( 1300 \) newborn babies: 

1. How many would you expect to weigh between \( 4 \) and \( 8 \) pounds? 

2. How many would you expect to weigh less than \( 6 \) pounds? 

3. How many would you expect to weigh more than \( 5 \) pounds? 

4. How many would you expect to weigh between \( 5.8 \) and \( 10 \) pounds? 

Q:

Given the set of all odd integers from \(15\) to \(49\) , what is the probability of choosing a number that is a multiple of \(7\) ? 

If you enter your answer as a decimal, round to the thousandths place. 

_____\(\sqrt { x } \) 

Q:

Based on a poll, \( 40 \% \) of adults believe in reincarnation. Assume that \( 8 \) adults are randomly selected, and find the indicated probability. Complete parts (a) through (d) below. 

a. What is the probability that exactly \( 7 \) of the selected adults believe in reincarnation? The probability that exactly \( 7 \) of the \( 8 \) adults believe in reincarnation is 

(Round to three decimal places as needed.) b. What is the probability that all of the selected adults believe in reincarnation? The probability that all of the selected adults believe in reincarnation is \( \square \) . 

(Round to three decimal places as needed.) c. What is the probability that at least \( 7 \) of the selected adults believe in reincarnation? The probability that at least \( 7 \) of the selected adults believe in reincarnation is \( \square \) . 

(Round to three decimal places as needed.) 

Q:

For \( 100 \) births, \( P \) (exactly \( 57 \) girls) \( = 0.0301 \) and \( P ( 57 \) or more girls) \( = 0.097 \) . Is \( 57 \) girls in \( 100 \) births a significantly high number of girls? Which probability is relevant to answering that question? Consider a number of girls to be significantly high if the appropriate probability is \( 0.05 \) or less. 

The relevant probability is \(\square \) so \( 57 \) girls in \( 100 \) births \( \square \) a significantly high number of girls because the relevant probability is \( \square \)  0.05.

Q:

In a test of a gender-selection technique, results consisted of 265 baby girls and 246 baby boys. Based on this result, what is the probability of a girl born to a couple using this technique? Does it appear that the technique is effective in increasing the likelihood that a baby will be a girl?

Q:

Assume that \( 2 \) cards are drawn from a standard \( 52 \) -card deck. Find the following probabilities.

 a) Assume the cards are drawn without replacement. Find the probability of drawing a black card followed by a black card.

 b) Assume the cards are drawn with replacement. Find the probability of drawing a black card followed by a black card. 

Q:

A container contains \( 40 \) green tokens, \( 20 \) blue tokens, and \( 3 \) red tokens. Two tokens are randomly selected without replacement. Compute \( P ( F | E ) \) . 

E - you select a green token first 

\( F \) - the second token is non - green 

Q:

An experiment and two events are given. Determine if the events are independent or dependent. A card is drawn randomly from a standard \( 52 \) -card deck; "the card is red" and "the card is an \( 8,9 \) or \( 10 \) ." 

 A. The events are dependent because the first event influences the second. 

B. The events are independent because knowing that one 

C.Theevent occurred does not influence the probability of the other event. 

D. The events are independent because the second event influences the first. 

Q:

We are drawing a single card from a standard \( 52 \) -card deck. Find the following probability. 

\( P ( \) six \( | \) nonface card) The probability is \(?\) . (Type an integer or a simplified fraction.) 

Q:

A container contains \( 40 \) green tokens, \( 20 \) blue tokens, and \( 3 \) red tokens. Two tokens are randomly selected without replacement. Compute \( P ( F | E ) \) . 

E-you select a green token first 

F- the second token is non - green 

Q:

If a single card is drawn from a standard \( 52 \) -card deck, in how many ways could it be an ace or a spade? A. \( 17 \) B. \( 13 \) c. \( 1 \) D. \( 16\) 

Q:

A game spinner has regions that are numbered \( 1 \) through \( 9 \) . If the spinner is used twice, what is the probability that the first number is a \( 3 \) and the second is a \( 6 ? \) 

A. \( \frac { 1 } { 18 } \) 

B. \( \frac { 1 } { 81 } \) 

C. \( \frac { 2 } { 3 } \) 

D. \( \frac { 1 } { 9 } \) 

Q:

A college administration has conducted a study of \( 217 \) randomly selected students to determine the relationship between satisfaction with academic advisement and academic success. They obtained the following information: Of the \( 77 \) students on academic probation, \( 39 \) are not satisfied with advisement; however, only \( 13 \) of the students not on academic probation are dissatisfied with advisement. What is the probability that a student selected at random is on academic probation and is not satisfied with advisement? 

The probability is \( \square \) . (Round to two decimal places as needed.) 

Q:

There are seven nickels and five dimes in your pocket. Three times, you randomly pick a coin out of your pocket, return it to your pocket, and then mix-up the change in your pocket. All three times, the coin is a nickel. Find the probability of this occuring. 

A. \( \frac { 25 } { 546 } \) 

B. \( \frac { 343 } { 1728 } \) 

c. \( \frac { 1 } { 8 } \) 

D. \( \frac { 1 } { 22 } \) 

Q:

Find the probability of no more than \( 2 \) successes in \( 5 \) trials of a binomial experiment in which the probability of success in any one trial is \( 18 \% \) . 

\( p = [ ? ] \% \) 

Q:

A small regional carrier accepted \( 18 \) reservations for a particular flight with \( 16 \) seats. \( 8 \) reservations went to regular customers who will arrive for the flight. Each of the remaining passengers will arrive for the flight with a \( 51 \% \) chance, independently of each other. 

(Report answers accurate to \( 4 \) decimal places.) 

Find the probability that overbooking occurs. 

Find the probability that the flight has empty seats.

Q:

A poll is given, showing \( 80 \% \) are in favor of a new building project. 

If \( 9 \) people are chosen at random, what is the probability that exactly \( 4 \) of them favor the new building project? 

Q:

Assume that a procedure yields a binomial distribution with a trial repeated \( n = 12 \) times. Use either the binomial probability formula (or technology) to find the probability of \( k = 1 \) successes given the probability \( p = 0.47 \) of success on a single trial.

(Report answer accurate to \( 4 \) decimal places.) 

\( P ( X = 1 ) = \) 

Q:

A pharmaceutical company receives large shipments of ibuprofen tablets and uses this acceptance sampling plan: randomly select and test \( 21 \) tablets, then accept the whole batch if there is at most one that is defective. 

If a particular shipment of thousands of ibuprofen tablets actually has a \( 5 \% \) rate of defects, what is the probability that this whole shipment will be accepted? 

(Report answer as a decimal value accurate to four decimal places.) 

\( P ( \) accept shipment) \( = \) 

Q:

A manufacturer knows that their items have a normally distributed lifespan, with a mean of \( 8.5 \) years, and standard deviation of \( 1.2 \) years. 

If you randomly purchase one item, what is the probability it will last longer than \( 9 \) years? 

Round answer to three decimal places 

Q:

In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of \( 54.1 \) inches, and standard deviation of \( 7.1 \) inches.

What is the probability that the height of a randomly chosen child is between \( 46.15 \) and \( 57.15 \) inches?Do not round until you get your your final answer, and then round to \( 3 \) decimal places. 

Answer \( = \quad \) (Round your answer to \( 3 \) decimal places.) 

Q:

A manufacturer knows that their items have a normally distributed lifespan, with a mean of \( 8.5 \) years, and standard deviation of \( 1.2 \) years. If you randomly purchase one item, what is the probability it will last longer than \( 9 \) years? 

Q:

Which of the following describes a simple event? 

A. spinning a \(2\) on a spinner 

B. drawing a queen from a deck of cards and getting a tail on a coin toss 

C. getting heads on a coin toss and rolling a \(5\) on a die 

D. spinning a \(3\) on a spinner and rolling a \(1\) on a die 

Q:

The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of \( 119 \) and standard deviation of \( 26 \) .

 Someone qualifies as having Stage \( 2 \) high blood pressure if their systolic blood pressure is \( 160 \) or higher.

Express your answers as a decimal and round to \( 2 \) decimal places. 

a. Around what percentage of adults in the USA have stage \( 2 \) high blood pressure? Give your answer rounded to two decimal places. 

______%

b. Stage \( 1 \) high BP is specified as systolic BP between \( 140 \) and \( 160 \) . What percentage of adults in the US qualify for stage \( 1 \) ? 

______%

Q:

The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of \( 120 \) and standard deviation of \( 22 \) . 

Someone qualifies as having Stage \( 2 \) high blood pressure if their systolic blood pressure is \( 160 \) or higher. 

Express your answers as a decimal and round to \( 2 \) decimal places. 

a. Around what percentage of adults in the USA have stage \( 2 \) high blood pressure? Give your answer rounded to two decimal places. 

__%

b. Stage \( 1 \) high BP is specified as systolic BP between \( 140 \) and \( 160 \) . What percentage of adults in the US qualify for stage \( 1 \) ? 

__%

Q:

A set of quiz scores has a mean of 78 and a standard deviation of 9 . Using a common grading scale where 60 and above is a passing score, what percentage of the students passed this test? 

Explain your answer in terms of the \( 68 - 95 - 99.7 \) rule. 

Q:

There are \( 8 \) brooms and \( 6 \) mops in a janitor's closet. What is the ratio of the number of mops to the total number of brooms and mops? 

A. \( \frac { 7 } { 3 } \) 

B. \( \frac { 3 } { 4 } \) 

C. \( \frac { 3 } { 7 } \) 

D. \( \frac { 4 } { 3 } \) 

Q:

A house cost \( \$ 185,500 \) in 2000. By the year \( 2015 \) , the value was \( \$ 132,000 \) . What was the growth rate as a percent for that \( 15 \) -year period? (Remember, \( i = ( \frac { p _ { 2 } } { p _ { 1 } } ) \frac { 1 } { n } - 1 ) \) .

 \(- 7.04 \% \) 

\( 2.24 \% \) 

\( 7.04 \% \) 

\( - 2.24 \% \) 

Q:

A cell phone costs \( \$ 750 \) and loses \( 28 \% \) of its value each year. What is the value of the phone after \( 2 \) years? 

A. \( \$ 388.80 \) 

B. \( \$ 216.54 \) 

C. \( \$ 456.30 \) 

D. \( \$ 1228.80\) 

Q:

Calculate the probability of getting a sum of 1,2,or 3. Round to 3 decimal places

 

Q:

Sally decides to become an awesomenaut. An awesomenaut is just like an astronaut except more awesome. She decides to become an awesomenaut by traveling to planet \( qX \) . On planet \( qX \) the gravity is very odd, the gravity is \( 1 \) graviton all the way up to \( 9.6 \) miles above the atmosphere where it suddenly becomes \( 0.5 \) gravitons per mile from \( 9.6 \) miles. Sally documents the gravity with the following functions: 

\( g ( x ) = x - 9.6 \) 

\( p ( x ) = 0.5 x + 1 \) 

If \( x \) represents the miles from the surface: 

a) Write a composite function representing the gravity \( x \) miles from the surface.

b) Find the gravity in gravitons \( 14 \) miles from the surface.

Q:

Find the probability of exactly four successes in five trials of a binomial experiment in which the probability of success is \( 40 \% \) . 

\( p = [ ? ] \% \) 

Q:

Rebecca picked \( \frac { 4 } { 9 } \) of a basket of apples yesterday. Today, she picked \( \frac { 5 } { 12 } \) of a basket of apples. What part of a basket of apples has Rebecca picked in all? 

Give your answer as a fraction, reduced to lowest terms. 

Q:

How many different committees can be formed from \( 8 \) teachers and \( 40 \) students if the committee consists of \( 2 \) teachers and \( 3 \) students? 

The committee of \( 5 \) members can be selected in \( \square \) different ways. 

Q:

Which of the following is an example of a random event?

 A. The winner of a card game

 B. A mailman delivering the mail around \( 11 \) a.m. each day

 C. The day a new movie comes out in theaters 

D. A coin landing on heads when flipped 

Q:

Laboratory tests show that the lives of light bulbs are normally distributed with a mean of \( 750 \) hours and a standard deviation of \( 75 \) hours. Find the probability that a randomly selected light bulb will last between \( 825 \) and \( 900 \) hours.  \( [ ? ] \% \) (Answer using the \( 68 \) - \( 95 \) - \( 99.7 \) rule. )

Q:

Laboratory tests show that the lives of light bulbs are normally distributed with a mean of \( 750 \) hours and a standard deviation of \( 75 \) hours. Find the probability that a randomly selected light bulb will last between \( 825 \) and \( 900 \) hours. [ ? ]\% Enswer using the \( 68 \) - \( 95 \) - \( 99.7 \) rule. 

Q:

If you are dealt \( 4 \) cards from a shuffled deck of \( 52 \) cards, find the probability of getting three queens and one king. The probability is \( \square \) . (Round to six decimal places as needed.) 

Q:

A class consists of \( 12 \) girls and \( 18 \) boys. A president, vice-president and treasurer are chosen based on the number of votes. Find the probability of selecting a president, vice-president and treasurer where all \( 3 \) are different boys from the class. 

A. \( \frac { 204 } { 1015 } \) 

B. \( \frac { 1 } { 5832 } \) 

C. \( \frac { 1 } { 8120 } \) 

D. \( \frac { 1 } { 6 } \) 

Q:

Weekly wages at a certain factory are normally distributed with a mean of  \( \$ 400 \) and a standard deviation of \( \$ 50 . \) 

Find the probability that a worker selected at random makes between \( \$ 350 \) and \( \$ 400 . \) 

Q:

Weekly wages at a certain factory are normally distributed with a mean of \( \$ 400 \) and a standard deviation of \( \$ 50 \) . Find the probability that a worker selected at random makes between  \( \$ 350 \) and \( \$ 400 . \) 

\( [ ? ] \% \) 

Q:

The table below gives the distribution of milk chocolate M\&M's 

 

Color         Brown    Red     Yellow   Green    Orange     Blue Probability  0.13      0.13       0.14      0.16       0.20       0.24

If a candy is drawn at random, what is the probability that it is not orange or red? 

Q:

A cog company produces \( 20 \) cogs a day, \( 4 \) of which are defective. Find the probability of selecting \( 4 \) cogs from the \( 20 \) produced where all are defective. 

A. \( \frac { 4 } { 4845 } \) 

B. \( \frac { 4 } { 5 } \) 

C. \( \frac { 1 } { 4845 } \) 

D. \( \frac { 364 } { 969 } \) 

Q:

The table below gives the distribution of milk chocolate M\&M's 

If a candy is drawn at random, what is the probability that it is not orange or red? 

Q:

1. Find the number of outfits a girl can wear if she has 

\( 9 \) skirts, \( 5 \) shirts, and \( 3 \) pairs of shoes. 

Q:

Which of the following best describes the type of probability used in the scenario below?

 lan randomly drew a marble out of a bag of marbles, then put it back. He did this \( 17 \) times. Of the \( 17 \) times, he drew a red marble \( 2 \) times. He concluded that the probability of drawing a red marble was \( \frac { 2 } { 17 } \) . 

A. Theoretical B. Empirical C. Unpredictable D. Random 

Q:

How many different ways can \( 13 \) questions on a true-false test be answered if a student answers every question? 

\( 8027 \) 

\( 8593 \) 

\( 8192 \) 

\( 7801\) 

Q:

How many different license plates can be formed if each plate has \( 4 \) digit(s) followed by \( 3 \) letter(s)?* *Do not include commas in your answer. vense license plates 

Q:

How many different course schedules can John have if he is taking \(8\) different classes and each of these classes is offered every period? (Assume there are \(8\) class periods in a day.)* * Do not include commas in your answer. 

Q:

How many ways can \( 3 \) students sit in a row of \( 13 \) chairs for a photograph? 

\( 1149 \) 

\( 1058 \) 

\( 1492 \) 

\( 1716\) 

Q:

Find the number of \( 5 \) -player starting lineups that can be formed from a 20-player basketball team.* *Do not add any commas to your answer.

Q:

Find the odds in favor of a soccer team winning their next game if they have won \( 4 \) games and lost \( 22 \) . Write your answer as a fraction. 

Q:

Find the probability of selecting a diamond when a card is drawn from a standard deck of cards. 

Q:

3. Find the probability of selecting a red marble from a jar that contains \( 8 \) red marbles, \( 3 \) yellow marbles, and \( 9 \) blue marbles. 

\( \frac { 1 } { 5 } \) 

\( \frac { 2 } { 5 } \) 

\( \frac { 3 } { 5 } \)

 \(\frac { 1 } { 6 } \)

Q:

Find the odds in favor of rolling two consecutive numbers when a pair of dice is rolled.

odds in favor \( = \) 

Q:

Find the probability of selecting a yellow marble from a jar that contains \( 5 \) yellow marbles, \( 8 \) orange marbles, and \( 7 \) purple marbles. 

A. \(\frac { 1 } { 8 } \)    B. \( \frac { 1 } { 6 } \)    C. \( \frac { 1 } { 4 } \)    D. \( \frac { 1 } { 2 } \) 

Q:

Find the probability of selecting a green marble from a jar that contains \( 3 \) green marbles, \( 8 \) purple marbles, and \( 7 \) yellow marbles. 

\( \frac { 3 } { 5 } \) 

\( \frac { 1 } { 5 } \) 

\( \frac { 1 } { 6 } \) 

\(\frac { 1 } { 3 } \)

Q:

Suppose a bag contains \( 8 \) white chips and \( 2 \) black chips. What is the probability of randomly choosing a white chip, not replacing it, and then randomly choosing another white chip? 

A. \( \frac { 28 } { 45 } \)     B. \( \frac { 16 } { 25 } \)    C. \( \frac { 1 } { 25 } \)     D. \( \frac { 1 } { 45 } \) 

Q:

10. Find the probability of getting \( 5 \) tails when \( 5 \) coins are tossed. 

Q:

Suppose you have a \( \frac { 1 } { 10 } \) chance of winning with a scratch-off lottery ticket. If you buy \( 5 \) tickets, what is the probability of winning with all \( 5 \) ? 

A. \( \frac { 1 } { 100 } \)     B. \( \frac { 1 } { 1000 } \)     C. \( \frac { 1 } { 10,000 } \)     D. \( \frac { 1 } { 100,000 } \) 

Q:

The lifetime of a certain type of automobile tire (in thousands of miles) is normally distributed with a mean of \( 33 \) and a standard deviation of \( 5 \) . Find the following probabilities, round to the fourth. 

 

a) What is the probability one randomly chosen tire has a lifetime greater than \( 38\) 

Would it be unusual for this to happen? (Hint: An event is unusual when its probability is less than \( 0.05 \) ) 

 

b) What is the probability one randomly chosen tire has a lifetime less than \( 28\) 

Would it be unusual for this to happen? (Hint: An event is unusual when its probability is less than \( 0.05 \) ) 

Q:

Find the probability of rolling a sum of a two first and then a sum of a three when a pair of dice is rolled twice. 

\( \frac { 1 } { 36 } \) 

\( \frac { 1 } { 648 } \)

 \(\frac { 1 } { 324 } \) 

\( \frac { 1 } { 54 } \) 

Q:

Suppose a jar contains \( 20 \) red marbles and \( 13 \) blue marbles. If you reach in the jar and pull out \( 2 \) marbles at random without replacement, find the probability that both are red. 

Q:

 Find the probability of drawing a \( 5 \) and then a black ace (without replacement) from a standard deck of cards.* *Report your answer as a fraction. 

Q:

If you roll a \(20\) sided dice, what is the probability of rolling a \(7\) or lower? 

\(35 \% \) 

\(65 \% \) 

\(30 \% \) 

\(5 \% \) 

Q:

In a randomly generated list of numbers from \( 0 \) to \( 4 \) , the chance that each number can occur is \( \frac { 1 } { 4 } \) . A. True B. False 

Q:

If we sample from a small finite population without replacement, the binomial distribution should not be used because the events are not independent. If sampling is done without replacement and the outcomes belong to one of two types, we can use the hypergeometric distribution. If a population has A objects of one type, while the remaining \( B \) objects are of the other type, and if \( n \) objects are sampled without replacement, then the probability of getting \( x \) objects of type A and \( n \) - \( x \) objects of type \( B \) under the hypergeometric distribution is given by the following formula. In a lottery game, a bettor selects six numbers from \( 1 \) to \( 60 \) (without repetition), and a winning six-number combination is later randomly selected. Find the probabilities of getting exactly four winning numbers with one ticket. (Hint: Use \( A = 6 R = 54 n = 6 \) and \( x = 4 ) \) 

\( P ( 4 ) = \square \) 

(Round four decimal places as needed.) 

Q:

If you have a \( 1 \) in a thousand chance of winning \( \$ 400 \) , but \( 999 \) out of a thousand times you win nothing, what is your expected payoff? 

Q:

A local business had various advertising campaigns. It had television ads numbered \( 1,2,3,4,5,6 \) , newspaper and magazine ads numbered \( 1,2,3,4,5 \) , and social media ads labeled \( 1,2 \) . If a single advertisement campaign is picked at random, what is the probability that the advertisement is a social media ad AND has an odd number? 

Q:

It was observed over the past year that it rained on \( 165 \) of \( 365 \) days. What was the probability of any day being rainy last year? 

Q:

Use the following results from a test for marijuana use, which is provided by a certain drug testing company. Among \( 145 \) subjects with positive test results, there are \( 23 \) false positive results; among \( 154 \) negative results, there are \( 2 \) false negative results. If one of the test subjects is randomly selected, find the probability that the subject tested negative or did not use marijuana. (Hint: Construct a table.) 

The probability that a randomly selected subject tested negative or did not use marijuana is (Do not round until the final answer. Then round to three decimal places as needed) 

Q:

 Aune is going to play a game of chance. There are five cups lined up and under one of the cups is a marble. If Aune chooses the cup hiding the marble, she wins the prize. What is the probability that she wins the prize? - Express your answer as a simplified fraction. 

Q:

A psychology test has personality questions numbered \( 1,2,3 \) , intelligence questions numbered \( 1,2,3,4 \) , and attitude questions numbered \( 1,2 \) . If a single question is picked at random, what is the probability that the question is an intelligence question OR has an odd number? 

Q:

Assuming boys and girls are equally likely, find the probability of a couple having a baby boy when their sixth child is born, given that the first five children were all boys. 

Q:

In a certain country, the true probability of a baby being a girl is \( 0.489 \) . Among the next eight randomly selected births in the country, what is the probability that at least one of them is a boy? 

Q:

Subjects for the next presidential election poll are contacted using telephone numbers in which the last four digits are randomly selected (with replacement). Find the probability that for one such phone number, the last four digits include at least one \( 0 \) . The probability is (Round to three decimal places as needed.) 

Q:

You are taking a multiple-choice test that has \( 7 \) questions. Edch of the questions has \( 3 \) answer choices, with one correct answer per question. If you select one of these choices for each question and leave nothing blank, in how many ways can you answer the questions? 

Q:

Suppose we flip a coin and roll a die. What is the probabiltiy of getting a tail on the coin and and an even number on the die? a/3 

\( 1 / 2 \) 

\(1 / 6 \) 

\( 1 \) 

\(1 / 12 \) 

\(1/4\)

 cannot be determined 

Q:

Internet Users U.S internet users spend an average of \( 18.3 \) hours a week online. If \( 95 \% \) of users spend between \( 13.2 \) and \( 23.4 \) hours a week, what is the probability that a randomly selected user is online less than \( 14 \) hours a week Assume that internet usage follows a normal distribution. Round the final answer to at least four decimal places and intermediate \( 7 \) value calculations to two decimal places. 

Q:

A standard deck of cards contains \( 52 \) cards. One card is selected from the deck. (a) Compute the probability of randomly selecting a club or spade. (b) Compute the probability of randomly selecting a club or spade or diamond. (c) Compute the probability of randomly selecting a ten or spade. 

(a) \( P \) (club or spade) \( = \square \) 

(Type an integer or a decimal rounded to three decimal places as needed.) 

(b) \( P \) (club or spade or diamond) \( = \square \) 

(Type an integer or a decimal rounded to three decimal places as needed.) 

(c) \( P \) (ten or spade) \( = \square \) 

(Type an integer or a decimal rounded to three decimal places as needed.) 

Q:

A pet store has \( 12 \) puppies, including \( 4 \) poodles, \( 4 \) terriers, and \( 4 \) retrievers. If Rebecka and Aaron, in that order, each select one puppy at random with replacement (they may both select the same one), find the probability that Rebecka selects a terrier and Aaron selects a retriever. 

 

The probability is (Type an integer or a fraction.) 

Q:

Eighty two percent of employees mave judgements about their co-workers based on the cleaniliness of their desk You randomin seiect \( 7 \) employees and ask them if they judge co workers based on this criterion. The random variabie is the number of employees who judge their co- workers by cleanliness Which outcomes of this binomial distribution vould be considered unisual? 

Q:

A survey of the TV viewing habits of \( 50 \) men and \( 50 \) women found the following information: Of the \( 50 \) men, \( 20 \) prefer watching baseball and \( 30 \) prefer football. Of the \( 50 \) women, \( 25 \) prefer watching baseball and \( 25 \) prefer football. Construct a data table for this data and answer the following question: If you randomly select a woman, what is the probability that she prefers football? 

Q:

The diameter of ball bearings produced in a manufacturing process can be explained using a uniform distribution over the interval \( 3.5 \) to \( 5.5 \) millimeters. What is the probability that a randomly selected ball bearing has a diameter greater than \( 4.4 \) millimeters? 

\( 0.8 \) 

\( 0.55 \) 

\( 0.4889 \) 

\( 2 \) 

 

Q:

Out of each \( 100 \) products, \( 93 \) are teady for purchase by customers if you selected \( 20 \) products, what would be the expected (mean) number that would be ready for purchase by customers? 

Q:

Based on a smartphone survey, assume that \( 49 \% \) of adults with smartphones use them in theaters. In a separate survey of \( 237 \) adults with smartphones, it is found that \( 99 \) use them in theaters. a. If the \( 49 \% \) rate is correct, find the probability of getting \( 99 \) or fewer smartphone owners who use them in theaters. b. Is the result of \( 99 \) significantly low? a. If the \( 49 \% \) rate is correct, the probability of getting \( 99 \) or fewer smartphone owners who use them in theaters is (Round to four decimal places as needed.) 

Q:

 Sixty four percent of those that use dive through services believe that the employees are at least somewhat rude if you asked \( 87 \) people who use drive through services if they believe that the employees are at least somewhat rude, what is the probability that at most \( 60 \) say yes? 

Q:

How many ways can four numbers be drawn from a group of ten numbers if the order does not matter? 

Choose one 

\( 21 \) 

\( 5040 \) 

\( 40\) 

Q:

(Ten rugby balls are randomly selected from the production line \( 10 \) see if their shape is correct Over time, the company has found that \( 89.4 \% \) of all their rugby balls have the correct shape. If exactly \( 7 \) of the \( 10 \) have the right shape, should the company stop the production line? 

Q:

 A bottle of water is supposed to have \( 20 \) ounces. The bottling company has determined that \(98 \% \) of botties have the correct amount Which of the following describes a binomial experiment that would determine the probability that a case of \(36\) bottles has all bottles properly filled?

Q:

The probability of someone ordering the daily special is \( 71 \) if the restaurant expected 

\( 65 \) people for lunch, how many would you expect to order the daily special? 

Q:

If \( n p \geq 5 \) and \( n q \geq 5 \) , estimate \( P \) (fewer than \( 4 \) ) with \( n = 13 \) and \( p = 0.4 \) by using the normal distribution as an approximation to the binomial distribution; if np \( < 5 \) or 

\( n q < 5 \) , then state that the normal approximation is not suitable.

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.  

A. P(fewer than \( 4 \) ) \( = \) (Round to four decimal places as needed.) 

B. The normal approximation is not suitable. 

Q:

Sixty four percent of those that use drive through services believe that the employees are at least somewhat rude inf you asked 87 people who use drive through services if they believe that the employees are at least somewhat rude. what is the probability that at most \( 53 \) say yes? 

Q:

The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between \( 0 \) and \( 7 \) minutes. Find the probability that a randomly selected passenger has a waiting time greater than \( 4.25 \) minutes. 

Find the probability that a randomly selected passenger has a waiting time greater than \( 4.25 \) minutes. 

\( \square \) (Simplify your answer. Round to three decimal places as needed.) 

Q:

One out of every \( 92 \) tax returns that a tax auditor examines requires an audit. If \( 50 \) returns are selected at random, what is the probability that less than \( 3 \) will need an audit? 

\( 0.0151 \) 

\( 0.0109 \) 

\( 0.9828\) 

\(0.9978\)

Q:

 A bottle of water is supposed to have \( 20 \) ounces. The bottling company has determined that \( 98 \% \) of bottles have the correct amount. Which of the following describes a binomial experiment that would determine the probability that a case of \( 36 \) bottles has all bottles property filled? 

\(n = 0 , p = 0.98 , x = 36\)

\( n = 36 , p = 0.98 , x = 1 \) 

\( n = 20 , p = 36 , x = 98 \) 

\( n = 36 , p = 0.98 , x = 36\) 

Q:

What are the odds of choosing a red marble from a bag that contains two blue marbles, one green marble and four red marbles?