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Let N1 be the number of Web page requests arriving at a server in a lrms period and let he be the number of Web page requests arriving at a server in the nest Innms period. Assume that in a l-ms interval either zero or one page request takes place with respeer tive probabilities I - p = 0.95 and p = [105, and that the requests in different 1-ms in- tervals are independent of each other. {:1} Describe the underlying space S of this random experiment and show the mapping from Sto Sxf, the range of the pair (X, l"). {b} Find the joint pmfof X and Y. [it] Find the marginal pmf for X and for Y. {ll} Find the probability oftheeventsA = {X a Y},B = {X = 1" = U}.C = {X 3' 5, 1' 3: 3}. {e} Find the probabilityIr of the event D = {X + Y = 10}