Exhibit 5-7
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.
-Refer to Exhibit 5-7. The probability that Pete will catch fish on exactly one day is
A).008
B).096
C).104
D).8

Question

Quizplus · Accepted Answer

The probability of catching fish on exactly one day can be calculated using the binomial probability formula: P(X=k) = C(n, k) * p^k * (1-p)^(n-k). Here, n=3, k=1, p=0.8. So, P(X=1) = C(3, 1) * 0.8^1 * 0.2^2 = 3 * 0.8 * 0.04 = 0.096.

Exhibit 5-7 The Probability That Pete Will Catch Fish When He Goes