Question

Find the expected value for the random variable. | 9 12 15 18 21 P(z) 0.16 0.25 0.36 0.17 0.06 Z E(z) = (Type an integer or a decimal.) Find the expected value for the random variable. | 9 12 15 18 21 P(z) 0.16 0.25 0.36 0.17 0.06 Z E(z) = (Type an integer or a decimal.)

Answer 1

The expected value for the random variable is 14.16.

Explanation:

We are given the following data below;

Z P(Z)
`Z * P(Z)`

9 0.16 1.44

12 0.25 3

15 0.36 5.4

18 0.17 3.06

21 0.06 1.26

Total 1 14.16

Now, the expected value for the random variable Z is given by;

E(Z) =
`\sum Z * P(Z)`

=
`(9 * 0.16) + (12 * 0.25) +......+(21 * 0.06)`

= 14.16.