Compute Probabilities of Binomial Experiments
-Sixty-five percent of men consider themselves knowledgeable soccer fans. If 14 men are randomly selected, find the probability that exactly four of them will consider themselves knowledgeable fans.
A) 0.005
B) 0.202
C) 0.65
D) 0.286

Question

Quizplus · Accepted Answer

The probability of exactly four men considering themselves knowledgeable fans can be calculated using the binomial probability formula: P(X = k) = C(n, k) * p^k * (1-p)^(n-k), where n = 14, k = 4, and p = 0.65. This calculation results in approximately 0.005.