An archer is able to hit the bull's eye 76% of the time.If she shoots 160 arrows in a competition,what's the probability that she gets at least 130 bull's-eyes? Assume that shots are independent of each other.
A)0.067
B)0.939
C)0.614
D)0.061
E)0.386

Question

Quizplus · Accepted Answer

The problem can be modeled using a binomial distribution with n = 160 and p = 0.76. To find the probability of getting at least 130 bull's-eyes, we calculate P(X ≥ 130). Using normal approximation to the binomial distribution, we find that P(X ≥ 130) ≈ 0.061.

An Archer Is Able to Hit the Bull's Eye 76