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A population of values has a normal distribution with μ=34.3μ=34.3 and σ=88.6σ=88.6. You intend to draw...

A population of values has a normal distribution with μ=34.3μ=34.3 and σ=88.6σ=88.6. You intend to draw a random sample of size n=43n=43. Please show your answers as numbers accurate to 4 decimal places.

Find the probability that a single randomly selected value is greater than 53.2.
P(X > 53.2) =

Find the probability that a sample of size n=43n=43 is randomly selected with a mean greater than 53.2.
P(¯xx¯ > 53.2) =

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