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Question

secure l https://www.mathxl.com/Student/PlayerTest aspx?testld 151219672&centenwin; yes BUSA 2100 B Spring 2017 Zachary Bradshaw 4 328 17 2 42 p Test: Midterm #2 Time Remairing: 00:41:41 Submit T This Question: 6 pts This Test: 93 pts post 10 of 15 (8 complete) v A certain tennis player makes a successful first serve 63% of the time, Assume that each serve is independent of the others. If she serves 6 times, what's the probability she gets a 2 serves in? b) at least exactly 4 serves in? a) The probability she gets exactly 2 serves in is (Round to three decimal places as needed.) b) The probability she gets at least 4 serves in is (Round to three decimal places as needed.) Enter your answer in each of the answer boxes.

Explanation / Answer

p = 0.63, q = 1-0.63 = 0.37

Using formula ,P(X=1) = nCx * p^x * q^(n-x)

1) Probability required = 6C2 * ( 0.63)^2 * (0.37)^4 =0.1115

2) Required probability = P(4) + P(5) + P(6) = 6C4 * ( 0.63)^4 * (0.37)^2 +   6C5 * ( 0.63)^5 * (0.37)^1 +   6C6 * ( 0.63)^6 * (0.37)^4 = 0.3234+ 0.2203+0.0625 = 0.6062

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