Problem 1. Suppose that X1, X2, X, and X4 are independent poisson distributed with: E(X1) = lab, E (X2) = (1 - a)b, E (X

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Problem 1 Suppose That X1 X2 X And X4 Are Independent Poisson Distributed With E X1 Lab E X2 1 A B E X 1 (82.31 KiB) Viewed 99 times

Problem 1. Suppose that X1, X2, X, and X4 are independent poisson distributed with: E(X1) = lab, E (X2) = (1 - a)b, E (X3) = la(1 – b) E (X4) = \(1 - a)(1-6) for some a and b between 0 and 1, define, S = X1+X2+X3+X4, R = X1+X2 and C = X1 + X3. (1) Find P(R = 10). (2) Find P(X1 = 6|S = 16, R = 12). (3) Find P(X1 = 10 S = 14, R = 12, C = 10).