Question

A1) = 0.20 and P( B AZ) = 0.05. If The prior probabilities for events A1 and Az are P(A1) = 0.35 and P(A2) = 0.60. It is also known that P(Ain Az) = 0. Suppose P( B needed, round your answers to three decimal digits. (a) Are A1 and Az mutually exclusive? Yes Explain your answer. The input in the box below will not be graded, but may be reviewed and considered by your instructor. blank (b) Compute P(Ain B) and P(A2 n B). P(Ai NB) = P(A2 n B) = (c) Compute P(B). P(B) = (d) Apply Bayes' theorem to compute P(A1B) and P(A2B) P(Ai | B) = P(A2 | B) =

Answer 1

(a) Yes are A, and a are nunturally enclusive: I PLANA)20. Here PCANA2) 20 So there is no Commen element for two event A and B So they are mutually exclusive co) PlanB)=P(A.). POBLA)--035%0. 20 =0.07 PLAN B) = P(A2). PIBIA2) = 0.6000.05 -0.03 (C) PIB = P(ANB) + PIAB) = 0.07+0.03=0.10 Gangy - pra).PIBIA) +0007 =10.7 0.02 e P(A218) PAPIR P CA). PIRA)+ P(A2J. PIBIA, - 0.10 PCA). POBIAS+ PASPORIAD Bitb = 10:31