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Knowing your blood type is important not only because it determines who you can donate blood...

Knowing your blood type is important not only because it determines who you can donate blood to but also who you can receive blood from. The second most common blood type in Canada is A positive and 36 percent of Canadians share this blood type. The least common blood type is AB negative and only 0.5 percent of Canadians have this blood type. Suppose a random sample of 100 Canadian donors has been chosen at random. In this sample, let X be the number of donors with A positive blood, and let Y be the number of donors with AB negativeblood.
(a) Find the mean of X.
(b) Find the variance of X.
(c) Use either the normal or the Poisson approximation, whichever is appropriate, to find the simplest estimate for the probability P(X  ≥  41).
(d) Find the mean of Y.
(e) Find the variance of Y.
(f) Use either the normal or the Poisson approximation, whichever is appropriate, to find the simplest estimate for the probability P(Y  ≥  2).
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