Question

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

Please select the best answer from the choices provided

A

B

С

D

Answer 1

D

Explanation:

Answer 2

The probability distribution is given below:

`\left|\begin{array}cOutcome& 0& 1& 5& 10& 1000\\Probability& 0.33& 0.32& 0.24& 0.10& 0.01\end{array}\right|`

Answer:

C. 12.52

Explanation:

Given the probability distribution below:

`\left|\begin{array}cccccOutcome& 0& 1& 5& 10& 1000\\Probability& 0.33& 0.32& 0.24& 0.10& 0.01\end{array}\right|`

Expected Value of the random variable

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

=0+ 0.32+1.2+1+10

=12.52

The correct option is C.