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A random sample of n = 81 observations is drawn from a population with a mean equal to 38 and a standard deviation equal to

A random sample of n = 81 observations is drawn from a population with a mean equal to 38 and a standard deviation equal to 36.

a. Find probability that the sample mean is less than 26

b. Find probability that the sample mean is greater than 40

c. Find probability that the sample mean is falls between 26 and 42

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