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.

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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. 

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Expert Answer

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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Image Transcriptionclose

P(x 34)1-P(X<34) [using EXCEL fomula "=NORM.DIST(34,38,10,1)"| 1-0.3446 0.6554

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