A coin is to be tossed as many times as necessary to turn up one head. Thus

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A coin is to be tossed as many times as necessary to turn up one head. Thus the elements c of the sample space C are H, TH, TTH, TTTH, and so forth. Let the probability set function P assign to these elements the respective probabilities 1/2 , 1/4 , 1/8 , 1/16 , and so forth. Show that P(C) = 1. Let C1 = {c : c is H,TH,TTH,TTTH, or TTTTH}. Compute P(C1). Next, suppose that C2 = {c : c is TTTTH or TTTTTH}. Compute P(C2), P(C1 ∩ C2), and P(C1 ∪ C2).

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Introduction To Mathematical Statistics

ISBN: 9780321794710

7th Edition

Authors: Robert V., Joseph W. McKean, Allen T. Craig

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