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(Sampling) a) Given a test that is normally distributed with a mean of 100 and a standard deviation of 12, find: a) The probability that

(Sampling) a) Given a test that is normally distributed with a mean of 100 and a standard deviation of 12, find:

a) The probability that a single score drawn at random will be greater than 110?

b) The probability that a sample of 25 scores will have a mean greater than 100?

c) The probability that a sample of 64 scores will have a mean greater than 100?

d) The probability that the mean of a sample of 16 scores will be between 95 and 105?

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