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:Expected Value = 0.9206so expected value we expect 1 liberal to be choseStep-by-step explanation:given data delegation = 3 selectedliberals = 4 conservatives = 5 solutionwe know that Delegates total 4 liberals 5 conservatives. so here Probability of getting a liberal is Probability of getting a liberal = [tex]\frac{4}{9}[/tex]andExpected Value will be here Expected Value = [tex]\frac{4}{9}1 + \frac{4}{9} \frac{3}{8}  +\frac{4}{9} \frac{3}{8}  \frac{2}{7}[/tex] 3Expected Value = 0.4444 + 0.3333 + 0.1428 Expected Value = 0.9206so expected value we expect 1 liberal to be chose