Question

The home states of a certain group of people are distributed as follows: 53 percent are from MISSOURI, 27 percent are from KANSAS, and 20 percent are from IOWA. (No one in the group had a home state other than one of these three.) (Note: Your answer to the question below should be rounded to three decimal places.) Suppose we randomly select a person from this group. What is the expected value of the number of letters in the selected person's home state?

Answer 1

53 percent are from MISSOURI, 27 percent are from KANSAS, and 20 percent are from IOWA.

X: Number of letters

x

8

6

4

We have to find the expected value of the number of letters in the selected person's home state.

Formula is

$E(X)=\sum x*p$

x	p	xp
8	0.53	4.24
6	0.27	1.62
4	0.2	0.8
	Total	6.66

$E(X)=\sum x*p=6.66$

The expected value of the number of letters in the selected person's home state is 6.66