The probability that Pete will catch fish when he goes fishing is .8.Pete is going to fish 3 days next week.Define the random variable x to be the number of days Pete catches fish.The variance of the number of days Pete will catch fish is
A) .16
B) .48
C) .8
D) 2.4

Question

Quizplus · Accepted Answer

Since the probability of catching fish is .8, we can model the number of days that Pete will catch fish using a binomial distribution with n = 3 and p = .8.

The variance of a binomial distribution is given by the formula Var(X) = np(1-p).

Substituting n = 3 and p = .8, we get:

Var(X) = (3)(.8)(.2) = .48

Therefore, the variance of the number of days Pete will catch fish is .48, so the answer is (B).

The Probability That Pete Will Catch Fish When He Goes