A normal population is known to have a mean of 10. (a) If the standard deviation of

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A normal population is known to have a mean of 10.

(a) If the standard deviation of the population is 5, what is the probability that a random sample of size 25 will have a mean of 12 or higher? (b)

What is the probability in

(a) if n = 100?

(c) If the standard deviation of the population is 10, what is the probability that a random sample of size 25 will have a mean of 12 or higher?

(d) What is the probability in

(c) for a mean of 6 or lower?

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