3.11 Persons entering a blood bank are such that 1 in 3 have type O+ blood and 1 in 15 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 X + Y, the number of donors who have type O blood.

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