Question: Need help for this question. Remember that answers cannot be left as infinite sums. I have D fair dice, each of which has six green

Need help for this question.

Remember that answers cannot be left as infinite sums. I have D fair dice, each of which has six green faces. I also have another N fair dice, each of which has four blue faces and two green faces. Assume that D has the Poisson (a) distribution and N has the Poisson (B) distribution independent of D. (a) Suppose I roll all my dice. For fixed integers j and k, find the chance that j dice show blue and k dice show green. (b) Find E(8D)

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