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##### The probability of A is 0.50, the probability of B is 0.45, and the probability of either (i.e. P(A[B) is 0.80.

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Question;1) The probability of A is 0.50, the probability of B is 0.45, and the probability of either (i.e. P(A[B)is 0.80. What is the probability of both A and B?2). The probability of A is 0.30, the probability of B is 0.40, and the probability of both (i.e. P(AB)is 0.20. What is the conditional probability of A given B? Are A and B independent in a probabilitysense?4. A mail-order rm considers three possible events in filling an order:A: The wrong item is sentB: The item is lost in transitC: The item is damaged in transitAssume that A is independent of both B and C and that B and C are mutually exclusive (i.e. B andC are disjoint). The individual event probabilities are P(A) = 0:02, P(B) = 0:01 and P(C) = 0:04.Find the probability that at least one of these foul-ups occurs for a randomly chosen order.Note: think hard about how you would calculate the probability for the union of three events. Thatis, verify the following (a picture may help):P(A [ B [ C) = P(A) + P(B) + P(C)

Paper#55447 | Written in 18-Jul-2015

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