Question: 18 a Prove that r (?) = n( ]). b Hence show that ( 7) + 2 (2 ) + 3 (3) +4()+ .... +n

18 a Prove that r (?) = n(" ]). b Hence show that ( 7) + 2 (2 ) + 3 (3) +4(")+ .... +n (") = n20-1 c Suppose the set of numbers {P, } are defined by Pr = (2) p (1 -p)-" for r = 0, 1, 2, 3, ..., n. Prove that: i EP = 1 ii ErP. = np "=0 r =1

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