I have a question: A population of values has a normal distribution with μ=244.2μ=244.2 and σ=26.5σ=26.5. You intend to draw a random sample of size n=247n=247. Find the probability that a sample of size n=247n=247 is randomly selected with a mean greater than 239.  P(M > 239) =  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
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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I have a question:

A population of values has a normal distribution with μ=244.2μ=244.2 and σ=26.5σ=26.5. You intend to draw a random sample of size n=247n=247.

Find the probability that a sample of size n=247n=247 is randomly selected with a mean greater than 239. 
P(M > 239) = 

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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