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A population of values has a normal distribution with μ=37.2μ=37.2 and σ=76.2σ=76.2. You intend to draw...

A population of values has a normal distribution with μ=37.2μ=37.2 and σ=76.2σ=76.2. You intend to draw a random sample of size n=21n=21.

Find the probability that a single randomly selected value is greater than 27.2.
P(X > 27.2) =

Find the probability that a sample of size n=21n=21 is randomly selected with a mean greater than 27.2.
P(M > 27.2) =

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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