4.40 An experiment can result in one of five equally likely simple events, E1. E

Question

4.40 An experiment can result in one of five equally likely simple events, E1. E2. . Es. Events A, B, and C are defined as follows: A: E1, Es P(A) = 0.4 B: Ei, E2. E4. Es P(B)-0.8 C: Es, E4 P(C) = 0.4 Find the probabilities associated with these compound events by listing the simple events in each. a. A d. AUB e. BC f. AB 4.41 Refer to Exercise 4.40. Use the definition ofa complementary event to find these probabilities: a. P(A) Do the results agree with those obtained in Exercise 4.40? 4.42 Refer to Exercise 4.40. Use the definition of conditional probability to find these probabilities: a. PIAB)b. P(BIC) Do the results agree with those obtained in Exercise 4.40? NEL

Explanation / Answer

a) P(A|B) = P(A and B)/P(B) = 0.2/0.8 = 0.25

b) P(B | C) = P(B and C)/P(C) = 0.2/0.4 = 0.5

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