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. Structure of probability (a) The probability of X isand that of Y is. Find the probability that at least one of the two events

. Structure of probability

(a) The probability of X isand that of Y is. Find the probability that at least one of the two events takes place. Show work.

(b) The probability of not observing X is. The joint probability of X and Y is. Find the probability of Y given that X is observed,. Show work.

(c)To the information from (b), add the facts thatandto complete the joint probability table. Report the marginal probabilities ofand.

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