Poisson distributions with respective means
Let X1, X2, X3 be a random sample of size n=3 from the Poisson distributions with respective means l1 = 4, l2= 5, l3= 5.
a) Find P(X1 + X2 + X3 = 1)
b) Find the mean and variance of Y = X1 + X2 + X3
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