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A random sample of n1=16 is selected from a normal population with a mean of 74...

A random sample of n1=16 is selected from a normal population with a mean of 74 and a standard deviation of 7. A second random sample of size n2=8 is taken from another normal population with mean 69 and standard deviation 14. Let X1 and X2 be the two sample means. Find: (a) the probability that X1-X2 exceeds 4. (b) the probability that 4.0 = X1-X2 = 5.1.

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