The average American man consumes 9.6 grams of sodium each day. Suppose that the sodium consumption...

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 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 9.8 and 10.4 grams of sodium per day.

c. The middle 10% of American men consume between what two weights of sodium? Low: High:

Solutions

Expert Solution

The following is obtained graphically:

The lower value = 9.6 - 0.9 * 0.12566 = 9.486906

The upper value = 9.6 + 0.9 * 0.12566 = 9.713094

The following is obtained graphically:

Let me know in comments if anything is unclear. Will reply ASAP. Please upvote!

orchestra answered 1 year ago

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