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Suppose we know that a random variable X has a population mean µ = 100 with...

Suppose we know that a random variable X has a population mean µ = 100 with a standard deviation σ = 30. What are the following probabilities?

a. The probability that X > 102 when n = 1296.

b. The probability that X > 102 when n = 900.

c. The probability that X > 102 when n = 36.

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