Question

Assume that you have a binomial experiment with p = 0.4 and a sample size of 100. The expected value of this distribution is

a. 40
b. 4
c. 0.40
d. 100

Answer 1

The expected value of a binomial distribution with a sample size of 100 and a success probability of 0.4 is 40.

Step-by-step explanation:

The expected value of a binomial distribution can be calculated using the formula E(X) = np, where n is the sample size and p is the probability of success on one trial. In this case, n = 100 and p = 0.4. Therefore, the expected value is E(X) = 100 x 0.4 = 40.