{1,2,3,4} and G-(3,4,5,6). If the probability set function P assigns a probability of to each EXERCISES -3.1. A positive

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1 2 3 4 And G 3 4 5 6 If The Probability Set Function P Assigns A Probability Of To Each Exercises 3 1 A Positive 1 (65.38 KiB) Viewed 122 times

{1,2,3,4} and G-(3,4,5,6). If the probability set function P assigns a probability of to each EXERCISES -3.1. A positive integer from one to six is to be chosen by casting a die. Thus the elements of the sample space Care 1,2,3,4,5,6. Suppose C of the elements of C, compute P(C), P(C), PC nC), and P(CUC). playing cards. Let the probability set function P assign a probability of to each 3.2. A random experiment consists of drawing a card from an ordinary deck of 52 of the 52 possible outcomes. Let C, denote the collection of the 13 hearts and let denote the collection of the 4 kings. Compute P(C), P(C), P(Cin Cy), and P( GUC) 3.3. A coin is to be tossed as many times as necessary to turn up one head. Thus the elements c of the sample space Care H, TH, TTH, TTTH, and so forth. Let the probability set function Passign to these elements the respec- tive probabilities to, and so forth. Show that P(C) = 1. Let C e is #TH,TTH,TTTH, or TTTTH). Compute P(C1). Next, suppose that C2 = {e:c is TTTTH or TTTTTH). Compute P(C2), P( CC), and PC, UC2). 3.4. If the sample space is C = GUC, and if P(C) = 0.8 and P(C2) = 0.5, find P( CC) {c: 3.5. Let the sample space be C = {e: 0