Salem University's MBA program has a 55% acceptance rate.You randomly select a sample of 20 applicants.For the random variable "number of applicants in the sample who are accepted into the program," compute the expected value.
A)11
B)12.2
C)9.8
D)7.4
E)13.5

Question

Quizplus · Accepted Answer

The expected value for a binomial distribution is calculated as $n \times p$, where $n$ is the number of trials (in this case, 20 applicants) and $p$ is the probability of success (in this case, the acceptance rate of 55% or 0.55). Therefore, the expected value is $20 \times 0.55 = 11$.

Salem University's MBA Program Has a 55% Acceptance Rate