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A population of values has a normal distribution with μ = 249.8 μ=249.8 and σ =...

A population of values has a normal distribution with μ = 249.8 μ=249.8 and σ = 13.6 σ=13.6 . You intend to draw a random sample of size n = 179 n=179 .

Find the probability that a single randomly selected value is greater than 249.4.

P(X > 249.4) =

Find the probability that a sample of size n=179n=179 is randomly selected with a mean greater than 249.4.
P(M > 249.4) =

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