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 expected number of days Pete will catch fish is
A) .6
B) .8
C) 2.4
D) 3

Question

Quizplus · Accepted Answer

Since the probability of catching fish on any given day is 0.8, the probability of not catching fish is 0.2. 
The number of days Pete will catch fish is a binomial random variable with n = 3 and p = 0.8. 
The expected value of a binomial random variable is given by E(X) = np. 
So, the expected number of days Pete will catch fish is E(X) = np = 3 x 0.8 = 2.4.

The Probability That Pete Will Catch Fish When He Goes