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OpenStudy (lxelle):
The independent random variables X and Y have the distributions Po(2) and Po(3) respectively. (i) Given that X + Y = 5, find the probability that X = 1 and Y = 4. (ii) Given that P(X =r)=2/3P(X = 0), show that 3 × 2^r−1= r! and verify that r = 4 satisfies this equation.
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