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The percent of fat calories that a person consumes each day is normally distributed with a...

The percent of fat calories that a person consumes each day is normally distributed with a mean of about 37 and a standard deviation of about ten. Suppose that 16 individuals are randomly chosen. Let X = average percent of fat calories.

(a) Give the distribution of X. (Round your standard deviation to two decimal places.)

X~N ( , )

(b) For the group of 16, find the probability that the average percent of fat calories consumed is more than seven. (Round your answer to four decimal places.)

(c) Find the first quartile for the average percent of fat calories. (Round your answer to two decimal places.)

________ percent of fat calories

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