topic: mathematical expectation

A. Direction: Determine the Expected Value of the following probability distribution. 1. 0.7 0.6 0.5 0.4 0.3 0.2 0.1 1 2 3 7 2. 0. 25 0.20 0. 15 0 . 10 0. 05 0. 00 0 2 4 6 8 10 12 X 3. 0.25 0.2 0.15 0.1 0.05 0 1 2 8 9 10 11 12 13 14 15 16 17 18 19 20 4. The probability mass function (pmf), f(x), for a discrete random variable, X, is shown in Table 1. Table 1: Table summary of the probability mass function x -2 -1 0 1 2 f (x) 1/8 2/8 2/8 2/8 1/8 5 | Page 5. x P( X =x) 2 0.113 W 0.418 5 0.026 7 0.245 0.151 10 0.047