Suppose X has the poisson pmf pX(n) = λnexp(-λ)/n!, n>=0 and λ=5 and Y has the poisson pmf pY(n)=μnexp(-μ)/n! n>=0 and μ=7 Let Z=X+Y, find pz(7)Let A be the event that z=6. Find pY|A(4)
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Originally Posted by essedra Suppose X has the poisson pmf pX(n) = λnexp(-λ)/n!, n>=0 and λ=5 and Y has the poisson pmf pY(n)=μnexp(-μ)/n! n>=0 and μ=7 Let Z=X+Y, find pz(7)Let A be the event that z=6. Find pY|A(4) Are X and Y independent? If so, here's your starting point: Sum of two independent Poisson random variables
I think they are independent but the point is, I don't know how to apply the formula.
Originally Posted by essedra I think they are independent but the point is, I don't know how to apply the formula. Can you write down the pmf for Z? Where are you stuck with question 1? For question 2, what is pY|A(4) meant to mean?
Originally Posted by mr fantastic Can you write down the pmf for Z? Where are you stuck with question 1? For question 2, what is meant to mean? Ok, I figured out.
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