Let X1, X2, .. be independent, U(0, 1)-distributed random variables, and let Nm E Po(m) be independent of X1, X2, Set Vm = max{X1,...2 0 when Nm =0). Determine (Vm (a) the distribution function of Vm, (b) the moment generating function of V- It is reasonable to believe that V is "close" to 1 when m is "large" (cf. Problem 8.1). The purpose of parts (c) and (d) is to show how this can be made more precise, %3D

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