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

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. 

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) 

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? 

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. 

_____\(\sqrt { x } \)