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Consider a pair of independent random variables X and Y with identical marginal p.m.F.s (1-0) for z E 10, 1,2,... otherwise {(1-0 gu otherwise 1,2,..) pr(v) (This is an alternative way of defining the geometric distribution.) Complete the derivation of the distribution of Z X +Y below. (1-0) Complete the derivation of the conditional distribution of XZ If we know that X and Zz,then If we know that Zthen X can take any value between below and
Complete the derivation of the conditional distribution of XIZ- z below. If we know that X z and Z-z, then If we know that Z z then X can take any value between and (1-θ ) Thus the conditional distribution of XIZ z is a binomial distribution a (discrete uniform distribution
(1-0) Thus the conditional distribution of XIZ zis Oa binomial distribution Oa (discrete) uniform distribution Oa Poisson distribution oa geometric distribution Onone of the above Check
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