Question

--- SV Wings. 6.13 Arrivals at the emergency rooms of two hospitals occur at average hourly rates of and u, respectively. The joint PMF of the numbers of arrivals during any particular hour is PX.r(x, y) = e-(+) X, y = 0, 1, 2, .... and Px.y(x, y) = 0 otherwise. a) Determine and identify the marginal PMFs of X and Y. b) What is the relationship between the joint PMF and the marginal PMFs?

Answer 1

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@ Px(®) = Š x,y(2,4)= e. 24 i 2 h eu 12.coze? Il similarly, Ryszem. ething xu Poila) Yn Poi (l) ®]PX,Y (9,4)= R (X). Pul 9) >> X andy are independent, Bothy&r poissom