Question

A delegation of 3 is selected from a city council made up of 4 liberals and 5 conservatives. What is the expected number of liberals in the delegation?

Answer 1

Answer:

Expected Value = 0.9206

so expected value we expect 1 liberal to be chose

Step-by-step explanation:

given data

delegation = 3 selected

liberals = 4

conservatives = 5

solution

we know that Delegates total 4 liberals 5 conservatives.

so here Probability of getting a liberal is

Probability of getting a liberal = $\frac{4}{9}$

and

Expected Value will be here

Expected Value = $\frac{4}{9}1 + \frac{4}{9} \frac{3}{8} +\frac{4}{9} \frac{3}{8} \frac{2}{7}$ 3

Expected Value = 0.4444 + 0.3333 + 0.1428

Expected Value = 0.9206

so expected value we expect 1 liberal to be chose