An urn contains 12 balls, five of which are red. Selection of a red ball is desired and is therefore considered to be a success. If three balls are selected, what is the expected value of the distribution of the number of selected red balls?
A) 0.4167
B) 0.8333
C) 0.5833
D) 1.2500

Question

Quizplus · Accepted Answer

The expected value E(X) for the number of red balls selected is calculated using the formula for the hypergeometric distribution: E(X) = n * (k/N), where n is the number of draws (3), k is the number of successes in the population (5 red balls), and N is the population size (12 balls). Thus, E(X) = 3 * (5/12) = 1.25.

An Urn Contains 12 Balls, Five of Which Are Red