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A population has a mean of 50 and a standard deviation of 19. If a random...

A population has a mean of 50 and a standard deviation of 19. If a random sample of 64 is taken, what is the probability that the sample mean is each of the following?

a. Greater than 52

b. Less than 51

c. Less than 48

d. Between 46.5 and 53.5

e. Between 50.8 and 51.2

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