Sixtyfive percent of men consider themselves knowledgeable f

Sixty-five percent of men consider themselves knowledgeable football fans. If 10 men are randomly selected, find the probability that exactly six of them will consider themselves knowledgeable fans.

Solution

Let X be a random variable denoting the number of persons who consider themselves knowledgeable fans out of 10 persons selected.

X~Binomial(10,0.65)

P(X=6)=0.237668