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A population of values has a normal distribution with μ=69.7μ=69.7 and σ=60.5σ=60.5. You intend to draw...

A population of values has a normal distribution with μ=69.7μ=69.7 and σ=60.5σ=60.5. You intend to draw a random sample of size n=220n=220. Please show your answers as numbers accurate to 4 decimal places.

Find the probability that a single randomly selected value is between 74.6 and 80.7.
P(74.6 < X < 80.7) =

Find the probability that a sample of size n=220n=220 is randomly selected with a mean between 74.6 and 80.7.
P(74.6 < ¯xx¯ < 80.7) =

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