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A normally distributed population has a mean of 400 and a standard deviation of 30. a. Determine the probability that a random sample of size

A normally distributed population has a mean of

400

and a standard deviation of

30.

a. Determine the probability that a random sample of size

9

selected from this population will have a sample mean less than

380.

b. Determine the probability that a random sample of size

25

selected from the population will have a sample mean greater than or equal to

414.

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