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A population of values has a normal distribution with μ=68.6μ=68.6 and σ=66σ=66. You intend to draw...

A population of values has a normal distribution with μ=68.6μ=68.6 and σ=66σ=66. You intend to draw a random sample of size n=185n=185. Please show your answers as numbers accurate to 4 decimal places.

Find the probability that a single randomly selected value is between 53.6 and 67.1.
P(53.6 < X < 67.1) =

Find the probability that a sample of size n=185n=185 is randomly selected with a mean between 53.6 and 67.1.
P(53.6 < ¯xx¯ < 67.1) =

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