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4.13. Generalize Exercise 1.2.5 to obtain say that C1,Ca, ,Ck are independent events that have respective...

Question

4.13. Generalize Exercise 1.2.5 to obtain say that C1,Ca, ,Ck are independent events that have respective...

4.13. Generalize Exercise 1.2.5 to obtain say that C1,Ca, ,Ck are independent events that have respective probabilities Pi,P. Pk Argue that the probability of at least one of C1, C2, , Ck is equal to 1-(1-P)(1-pa)(1-P) -p1) (1- p2):..
4.13. Generalize Exercise 1.2.5 to obtain say that C1,Ca, ,Ck are independent events that have respective probabilities Pi,P. Pk Argue that the probability of at least one of C1, C2, , Ck is equal to 1-(1-P)(1-pa)(1-P) -p1) (1- p2):..

Answers

Probability of at least one of C1, C2, .., Ck P(C1 UC2 U... UCk) P(Ci n 2 n . n) Using DeMorgans law 1-P (C) P(C) P(C k), snce cis are ndependent Cİ are also n dependen t since P(C) = pi, î = 1.2, k- P(C) = 1-P(C) = 1-Pi, i = 1, 2, , k.


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