Suppose there are 5 men and 6 women at a party. The task of going to the store for more food and drinks is assigned to 2 party guests, chosen at random. Let W denote the number of women selected. Find E[W] and E[W2].

The value of E (W) = 1.0909 and the value of E (W²) = 1.6363.

Step-by-step explanation:

The number of men and women at a party are 5 and 6 respectively.

The total number of ways to select 2 party guests is,

ways.

The two guests can be selected as follows:

S = {(M, M), (W, M) or (W, W)}

The probability of selecting 0 women:

The probability of selecting 1 women:

The probability of selecting 2 women:

Compute the expected value of the number of women selected as follows:

The value of E (W²) is:

Thus, the value of E (W) = 1.0909 and the value of E (W²) = 1.6363.

check the picture below.

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)