An archer is able to hit the bull's-eye 48% of the time.If she shoots 8 arrows,what is the probability that she gets exactly 4 bull's-eyes? Assume each shot is independent of the others.
A)0.0531
B)0.2717
C)0.0039
D)0.2355
E)0.7283

Question

Quizplus · Accepted Answer

This is a binomial probability question, where there are 8 trials (shots) and each trial has a probability of success (hitting the bull's-eye) of 0.48. We want to find the probability of getting exactly 4 successes.

Using the binomial probability formula, the probability of getting exactly 4 bull's-eyes is:

P(X = 4) = (8 choose 4)*(0.48)^4*(1-0.48)^4 = 0.2717

Therefore, the answer is B.

An Archer Is Able to Hit the Bull's-Eye 48% of the Time.If