Suppose BI. 82 . . . are independent binaryr digits such that for all i p(B=-=0)=p(B.-=1)=% Let l-"V = 0.31 - - - B\" be a number in the interval [01 1) whose binary expansion has the most signicant bit Bl and least signicant bit B\". Hence, W" = 2:181- 2". in decimal. Let H = 2;] Bi. H is called the \"Hamming weight of HF\". (21) Find E'U-V). (b) Let X N u11if[0,1]. Find E(X). (c) As 11 } oo, compare (a) and (1)). Comment. (d) Find Pas1 = 1|H = k). (e) Find P(H = 21W?