A population of values has a normal distribution with μ=215 and σ=19.6. You intend to draw a random sample of size n=216. Find the probability that a single randomly selected value is less than 216.6. P(X < 216.6) = Find the probability that a sample of size n=216 is randomly selected with a mean less than 216.6. P(M < 216.6) = 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=215 and σ=19.6. You intend to draw a random sample of size n=216.

Find the probability that a single randomly selected value is less than 216.6.
P(X < 216.6) =

Find the probability that a sample of size n=216 is randomly selected with a mean less than 216.6.
P(M < 216.6) =

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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