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 probability that Pete will catch fish on exactly one day is
A) .008
B) .096
C) .104
D) .8

Question

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 probability that Pete will catch fish on exactly one day is​
A) .008
B) .096
C) .104
D) .8

Quizplus · Accepted Answer

The probability of catching fish on exactly one day is 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.

The Probability That Pete Will Catch Fish When He Goes