Persons entering a blood bank are such that 1 in 3 have type O* blood and 1 in 18 have type o blood. Consider three randomly selected donors for the blood bank. Let X denote the number of donors with type o+ blood and Y denote the number with type o blood. Find the probability distributions for X and Y. Also find the probability distribution for Z = x + Y, the number of donors who have type O blood. (Round your answers to four decimal places.) 1 2 3 P(X) P(Y) P(Z)

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