An archer is able to hit the bull's eye 76% of the time.If she shoots 160 arrows in a competition,what is 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

This is a binomial probability problem where the number of successes (hitting the bull's-eye) in a fixed number of trials (shooting arrows) is sought. The probability of hitting the bull's-eye is 0.76, and the number of trials is 160. The question asks for the probability of getting at least 130 successes, which can be calculated using the binomial distribution formula or approximated using normal distribution as a binomial distribution with a large number of trials. However, the exact calculation without the use of a binomial table, calculator, or software is impractical here. The provided answer D) 0.061 suggests a relatively low probability of achieving at least 130 bull's-eyes, which aligns with the high threshold of success compared to the archer's hit rate.

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