An archer is able to hit the bull's eye 48% of the time.If she shoots 8 arrows,how many bull's-eyes do you expect her to get? Assume the shots are independent of each other.
A)1.9968
B)1.4
C)4
D)3.84
E)4.16

Question

Quizplus · Accepted Answer

We can model the number of bull's-eyes the archer hits with a binomial distribution, where n = 8 (number of trials) and p = 0.48 (probability of success).

E(X) = np
E(X) = 8 * 0.48
E(X) = 3.84

Therefore, we can expect the archer to hit the bull's-eye approximately 3.84 times. The closest option is (D) 3.84.

An Archer Is Able to Hit the Bull's Eye 48