A beginning archer is able to hit the bull's-eye 41% of the time.If she shoots 7 arrows,what is the probability that she gets at most 3 bull's-eyes? Assume each shot is independent of the others.
A)0.6906
B)0.0625
C)0.3094
D)0.2923
E)0.3983

Question

Quizplus · Accepted Answer

The probability of hitting at most 3 bull's-eyes can be calculated using the binomial probability formula, which is P(X = k) = (nCk) * p^k * (1-p)^(n-k), where n is the number of trials, k is the number of successful outcomes, p is the probability of success on a single trial, and nCk is the binomial coefficient. In this case, we calculate the probability for 0, 1, 2, and 3 bull's-eyes and sum them up. The calculations yield a total probability of 0.6906, making option A correct.

A Beginning Archer Is Able to Hit the Bull's-Eye 41