Question

The average American man consumes 9.7 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 1 grams. Suppose an American man is

randomly chosen. Le X = the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible.

b. Find the probability that this American man consumes between 10.5 and 11.2 grams of sodium per day? ____

c. The middle 20% of American men consume between what two weights of sodium?
Low:
High:

Answer 1

Explanation:

b. p(10.5<x<11.2)= p(x<11.2)-p(x<10.5)

p(x<11.2)= (11.2-9.7)/1 = 1.5 = 0.9332

p(x<10.5)= (10.5-9.7)/1= .8= 0.7881

.9332-0.7881= .1451

c. 9.7-.253, 9.7+.253

9.447, 9.953