A population of values has a normal distribution with μ=73.1μ=73.1 and σ=28.1σ=28.1. You intend to draw a random sample of size n=131n=131. Find the probability that a single randomly selected value is greater than 69.7. P(X > 69.7) =  Find the probability that a sample of size n=131n=131 is randomly selected with a mean greater than 69.7. P(M > 69.7) =  Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

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 μ=73.1μ=73.1 and σ=28.1σ=28.1. You intend to draw a random sample of size n=131n=131.

Find the probability that a single randomly selected value is greater than 69.7.
P(X > 69.7) = 

Find the probability that a sample of size n=131n=131 is randomly selected with a mean greater than 69.7.
P(M > 69.7) = 

Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

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