Outcome

0

1

5

10

1000

Probability

0.33

0.32

0.24

0.10

0.01

Which is the expected value of the random variable with the given probability distribution?

a.

5.65

c.

12.52

b.

100.44

d.

5

The expected value of the random variable with the given probability distribution = 12.52

Step-by-step explanation:

Given data

x : 0 1 5 10 1000

p (x) : 0.33 0.32 0.24 0.10 0.01

The expected value of the given random variable of given probability distribution

E (X) = ∑ x p (X = x)

E (X) = 0 * 0.33 + 1 * 0.32 + 5 * 0.24 + 10 * 0.10 + 1000*0.01

E (X) = 12.52