Exhibit 5-10
The probability that Pete will catch fish on a particular day when he goes fishing is 0.8. Pete is going fishing 3 days next week.
-Refer to Exhibit 5-10. 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

Let X be the number of days that Pete catches fish in a week. Then X follows a binomial distribution with parameters n = 3 (number of trials) and p = 0.8 (probability of success on each trial).

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

Substituting n = 3 and p = 0.8, we get Var(X) = 3(0.8)(1-0.8) = 0.48.

Therefore, the variance of the number of days Pete will catch fish is 0.48.

Hence, the correct answer is B.

Exhibit 5-10 The Probability That Pete Will Catch Fish on a Particular