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