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

Question

Quizplus · Accepted Answer

The probability that Pete catches fish on one day or less is the sum of the probabilities of catching fish on exactly 0 days and exactly 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.

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