population of values has a normal distribution with μ=243.5 and σ=67.6. You intend to draw a random sample of size n=151. Find the probability that a single randomly selected value is greater than 252.9. P(X > 252.9) = Find the probability that a sample of size n=151 is randomly selected with a mean greater than 252.9. P(M > 252.9) = 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)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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A population of values has a normal distribution with μ=243.5 and σ=67.6. You intend to draw a random sample of size n=151.

Find the probability that a single randomly selected value is greater than 252.9.
P(X > 252.9) =

Find the probability that a sample of size n=151 is randomly selected with a mean greater than 252.9.
P(M > 252.9) =

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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