A tennis player makes a successful first serve 65% of the time.If she serves 90 times in a match,what is the probability that she makes no more than 50 first serves? Assume that each serve is independent of the others.

A) 0.337
B) 0.970
C) 0.018
D) 0.030
E) 0.663

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Jason Brown · Accepted Answer

Final Answer : D, Explanation :  This problem can be solved by using the binomial distribution formula.Let X be the number of successful first serves made. Then, X follows a binomial distribution with n=90 and p=0.65.We need to find the probability that she makes no more than 50 first serves. This can be expressed as P(X≤50).Using the binomial distribution formula, we get:P(X≤50) = Σ_(k=0)^50 (90 C k) (0.65)^k (0.35)^(90-k)Using a binomial probability table or a calculator, we can find that P(X≤50) ≈ 0.030.Therefore, the best choice is D) 0.030, which is the probability that the tennis player makes no more than 50 first serves.

A tennis player makes a successful first serve 65% of the time.If she serves 90 times in a match,what is the probability that she makes no more than 50 first serves? Assume that each serve is independent of the others.

A) 0.337
B) 0.970
C) 0.018
D) 0.030
E) 0.663

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A tennis player makes a successful first serve 65% of the time.If she serves 90 times in a match,what is the probability that she makes no more than 50 first serves? Assume that each serve is independent of the others.A) 0.337B) 0.970C) 0.018D) 0.030E) 0.663

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Related questions

A tennis player makes a successful first serve 65% of the time.If she serves 90 times in a match,what is the probability that she makes no more than 50 first serves? Assume that each serve is independent of the others.

A) 0.337
B) 0.970
C) 0.018
D) 0.030
E) 0.663