A population of values has a normal distribution with M=111.8 and O=72 You intend to draw a random sample of size n=157. A).  Find the probability that a single randomly selected value is between 102 and 129. P(102 < X < 129) =_______ B). Find the probability that a sample of size n=157n=157 is randomly selected with a mean between 102 and 129. P(102 < M < 129) =_______

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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A population of values has a normal distribution with M=111.8 and O=72 You intend to draw a random sample of size n=157.

A).  Find the probability that a single randomly selected value is between 102 and 129.
P(102 < X < 129) =_______

B). Find the probability that a sample of size n=157n=157 is randomly selected with a mean between 102 and 129.
P(102 < M < 129) =_______ 

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