The average American man consumes 9.6 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 0.9 grams. Suppose an American man is randomly chosen. Let \( \mathrm{X}= \) the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible. a. What is the distribution of X ? X - N b. Find the probability that this American man consumes between 10.1 and 11.8 grams of sodium per day. c. The middle \( 30 \% \) of American men consume between what two weights of sodium? Low:

6. A bag contained \( 6 \frac{2}{3} \) cups of flour. Scout used \( 2 \frac{1}{3} \) cups te make some bread. How much flour was left in the bas after she made the bread?

Rewrite \( \sec 13^{\circ} \) in terms of its cofunction.

\( \int ( x ^ { 3 } + 4 x ) 3 ^ { ( x ^ { 3 } + 4 ) ^ { 4 } } d x \)

Find the standard deviation of the sampling distribution of sample means using the given information. Round to one decimal place, if necessary. \[ \mu=61 \text { and } \sigma=10 ; n=64 \]

Suppose \( 48 \% \) of the banks in Switzerland are private organizations. If a sample of 475 banks is selected, what is the probability that the sample proportion of private banks will be greater than \( 53 \% \) ? Round your answer to four decimal places.