Let X have the pmf px 13 x 1 0 1 Find the pmf of Y X2Solu

Let X have the pmf p(x) = 1/3, x = -1, 0, 1. Find the pmf of Y = X^2.

Solution

Consider the table:

Thus, as in the x^2 column, the value Y = 1 occured twice, the pmf of y is

P(Y) = 2/3 , y = 1

1/3, y = 0 [ANSWER]