A population of values has a normal distribution with μ=27.1μ=27.1 and σ=5.6σ=5.6. You intend to draw a random sample of size n=206n=206. Find the probability that a single randomly selected value is greater than 27.9. P(X > 27.9) =  Find the probability that a sample of size n=206n=206 is randomly selected with a mean greater than 27.9. P(M > 27.9) =

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Chapter1: Combinatorial Analysis
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A population of values has a normal distribution with μ=27.1μ=27.1 and σ=5.6σ=5.6. You intend to draw a random sample of size n=206n=206.

Find the probability that a single randomly selected value is greater than 27.9.
P(X > 27.9) = 

Find the probability that a sample of size n=206n=206 is randomly selected with a mean greater than 27.9.
P(M > 27.9) = 

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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