4. Ten books, consisting of 5 mathematics books, 3 physics books, and 2 chemistry books, are arranged on a shelf at random. Determine the probability that books of the same kind are all together.

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Q: 1. Let X and Y have the joint pmf given below. (x, y) | (1, 1) (1, 2) (1,3) p(x, y) | 2/15 4/15 (2, ...

A: The joint pmf of (X, Y) is given by  X \ Y  1 2 3 Total  1 215 415 15 915 2 115 115 415 615 ...