Suppose X and Y are independent random variables and take values 1, 2, 3, and 4...

Suppose X and Y are independent random variables and take values 1, 2, 3, and 4 with probabilities 0.1, 0.2, 0.3, and 0.4. Compute
(a) the probability mass function of X + Y
(b) E[X + Y ]?

Solutions

Expert Solution

If X and Y are independent random variable which takes discrete values 1, 2, 3, 4. Then the probability mass function of addition of random variable can be obtain by making use of the distribution of their disjoint probability mass function.

The probability mass function can be easily obtained by considering new variable z also we have E[X+Y]=6.

orchestra answered 1 year ago

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