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Chapter 5 homework 4: Problem 2 Previous Problem Problem List Next Problem (1 point) Events A1, A2 and Ag form a partiton of the sample space with probabilities P(Aj) = 0.2, P(A2) = 0.4, P(A3) = 0.4. IfE is an event in S with P(EJA) = 0.3, P(EJA) = 0.6, P(E|A3) = 0.5, compute P(E) = P( AE) = P(A2|E).= P(A3|E) = Note: You can earn partial credit on this problem Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Show Past Answers

Answer 1

- PCE) = P(E/A) P(A1) + PCE/A) P(A₂) + P(+/A₂) P(A₂) | = (0.3 (0.2) + (0.6) (0.4) + (0.5) (0.6) = 10.5 *P(A/E) = P(E/AD PCA) PCE/A) PCA) + P(E/A₂) P (A₂) + P(E/A₂P(A. (0.8) (0.2) 0.5 = 10.12 *P(A2/E) - PLE/A2) P (A₂) (0.6) (0.4) - P(E) 10.48 0.5 AP(A/C) = P(E/A3) P(A3) (0.5) (0.4) P(E) 0.5 ={0.40