The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 37 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 36.  Round to 4 decimal places. c.  Find the minimum number for the lower quartile of fat calories.  Round to 2 decimal places.

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Asked Nov 18, 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 37 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 36.  Round to 4 decimal places. 

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

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Expert Answer

Step 1

It is given that X follows normally distribution with mean 37 and standard deviation 10.

a)

Consider that  is defined as mean and  is defined as standard deviation.

Thus,

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N(u. ) x N(37,(10)) х X

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Step 2

b)

The probability that a randomly selected fa...

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х-и Р(x > 36)- P| X-и 36-37 10 - Р(2 > -0.1) 0.5398

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