Question: Two random samples of size 100 are drawn from two populations P and P2 and their means X and X. If = 10, 0

Two random samples of size 100 are drawn from two populations P

Two random samples of size 100 are drawn from two populations P and P2 and their means X and X. If = 10, 0 = 2 and 2 = 8,02 = 1, find (a) E[X - X]. (b) (X - X). (c) The probability that the difference between a given pair of sample means is less than 1.5. (d) The probability that the difference between a given pair of sample means is greater than 1.75 but less than 2.5.

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