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 one day or less is
A) .008
B) .096
C) .104
D) .8

Question

Quizplus · Accepted Answer

The probability of catching fish on one day or less is the sum of the probabilities of catching fish on 0 days and 1 day. Using the binomial probability formula, P(X=0) = (3 choose 0)(0.8^0)(0.2^3) = 0.008 and P(X=1) = (3 choose 1)(0.8^1)(0.2^2) = 0.096. Adding these gives 0.008 + 0.096 = 0.104.

The Probability That Pete Will Catch Fish When He Goes