Question: 2. Three events occur with the probabilities P(E, ) = 0.35, P(E2 ) = 0.40, P(E3 ) =0.40 other probabilities are P(B | E, )

2. Three events occur with the probabilities P(E, ) = 0.35, P(E2 ) = 0.40, P(E3 ) =0.40 other probabilities are P(B | E, ) = 0.25, P(B | E2 ) = 0.15, P(B| E3 ) = 0.60. a. Compute P(Ez | B) P ( E2 1B ) = P ( Ez NB ) = PCBT b. Compute P(E, | B) P(E 3 / B ) 2 PCE 3/B P (B) c. Compute P(E,and E3 ) ( E En Es ) = P (EzlE3 ) " P(Ez) d. Compute P(E, or E, ) p ( EzuEs ) = p (E ) + p(E3) - P(Ez - [3) 6.04 + 0.04
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