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StatisticsQ&A LibraryThe percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 38 and a standard deviation of 10. Suppose that one individual is randomly chosen. Let X=percent of fat calories.a. What is the distribution of X? X ~ N(,)b. Find the probability that a randomly selected fat calorie percent is more than 34. Round to 4 decimal places. c. Find the minimum number for the lower quartile of fat calories. Round to 2 decimal places.Question

Asked Nov 10, 2019

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The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 38 and a standard deviation of 10. Suppose that one individual is randomly chosen. Let X=percent of fat calories.

a. What is the distribution of X? X ~ N(,)

b. Find the probability that a randomly selected fat calorie percent is more than 34. Round to 4 decimal places.

c. Find the minimum number for the lower quartile of fat calories. Round to 2 decimal places.

Step 1

**a.**

It is given that the percent of fat calories follows normal distribution with mean 38 and standard deviation 10.

That is, µ= 38, σ = 10.

Thus, **X~ N (38,10).**

Step 2

**b.**

Denote the random variable *X* as the percent of fat calorie in a randomly selected person.

The probability th...

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