given X1,X2,...,X20 are independent identically distribution with exponent with mean 0.5 also let S= X1+X2+...+X20.

a) finf the moment generating function of S.

calculate mean,[E(S)] and variance,[Var(S)] of S.

using chebychev's inequality, find the highest probability of P[det(S-E(S)) more than or equal to 10].