Find the expected value of a random variable x having the following probability distribution.

x (-5,-1,0,1,5,8)

Probability (.12,.16,.28,.22,.12,.1)

The expected value is 0.86.

Step-by-step explanation:

To find the expected value, multiply each x value by the corresponding probability, and then sum up these products:

(-5) (0.12) + (-1) (0.16) + (0) (0.28) + 1 (0.22) + 5 (0.12) + 8 (0.10).

This comes out to

-0.60 - 0.16 + 0 + 0.22 + 0.60 + 0.8 = 0.86