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Let X be a random variable such that P(X=k) = k/10, for k = 1,2,3,4. Let...

Let X be a random variable such that P(X=k) = k/10, for k = 1,2,3,4. Let Y be a random variable with the same distribution as X. Suppose X and Y are independent. Find P(X+Y = k), for k = 2,...,8.

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Answer #1

The Joint PMF of X and Y is given by: , x,y=1,2,3,4

{Since X and Y are independent}

which are the required probabilities.

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