Question

The table below shows the probability distribution of a random variable X Х P(X) -10 0.07 -9 0.09 -8 0.67 -7 0 -6 0.17 What is the expected value of X? Write your answer as a decimal.

Answer 1

Teshawn, this is the solution to the problem:

We use the following formula to calculate the expected value of x, as follows:

Expected value of x = -10 * 0.07 + - 9 * 0.09 + -8 * 0.67 + -7 * 0 + -6 * 0.17

Expected value of x = -0.7 + -0.81 + - 5.36 + 0 + - 1.02

Expected value of x = -0.7 - 0.81 - 5.36 - 1.02

Expected value of x = -7.89