A certain tennis player makes a successful irs fi serves in la! /serves n\' n ex

Question

A certain tennis player makes a successful irs fi serves in la! /serves n' n exact y 4 serves r serve f 3% o the time Assume t at earn ser e is independent lhe c her it she serves times what sme probablit sne ets c at least serves in?r no mare tr n a) The probability that she gets all serves in is Round to threc decimal placcs as needed) b) The probability she gcts cxaclly 4 serves in is Round to Uree decimal places as needed.) c) The probabilily she gels a leasl 5 serves in is Round to three decimal places as needed.) d) The probability that there are no more than 6 serves in is Round to thee decimal places as needed.)

Explanation / Answer

1 solution:- given that p = 0.63 q = 1-p = 1-0.63 = 0.37 , n = 7

Formula : P(X=r)=nCr*(p)^r *(q)^(n-r)

a) (0.63)^7 = 0.039

b) P(X = 4) = 7C4 * 0.634 * 0.373= 0.279

c) P ( at least 5) = P(5) + P(6) + P(7) = 0.285 + 0.162 + 0.039 = 0.486

d) P (no more than 6 ) = 1 - P(7) = 1 - 0.039 = 0.961

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2 solution:-

option B.

=> option B. No,the radomization condition is not met

=

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