Question: Let X and Y have the joint distribution P{X = x, Y = y} = cx+y/(x!y!) for x = 0, 1, ...,y = 0, 1,

Let X and Y have the joint distribution P{X = x, Y = y} = cλx+y/(x!y!) for x = 0, 1, ...,y = 0, 1, ..., and λ > 0. (i) Find

c. (ii) Find the marginal distribution of X. (iii) Are X and Y independent?

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