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  3. problem 3 a ball is taken at random from an...

Question: problem 3 a ball is taken at random from an...

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Problem 3. A ball is taken at random from an urn containing 2 red balls and 3 blue balls. If the ball is red a fair coin is tossed three times. If the ball is blue non-fair coin is tossed three times; for this second coin the probability of heads is .6. In either case we count the number of heads in the three tosses and call that number X (a) Compute the conditional probability that X-2 if it is knoun that the selected ball is red b) Compute the conditional probability that X-2 if it is knoun that the selected ball is blue (c) Compute the probability that X-2. (d) Compute the conditional probability that the selected ball is blue given that X2

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