Given a binomial distribution with n = 8 and p = 0.40, obtain the probability that the number of successes is larger than the mean.
A) 0.4059
B) 0.3882
C) 0.2582
D) 0.6070

Question

Quizplus · Accepted Answer

The mean of a binomial distribution is given by μ = np. For n = 8 and p = 0.40, the mean is μ = 8 * 0.40 = 3.2. To find the probability of more than 3.2 successes, we calculate the probability of 4 or more successes. Using a binomial probability table or calculator for n = 8, p = 0.40, and x ≥ 4, we find the probability is approximately 0.4059.

Given a Binomial Distribution with N = 8 and P