Question: Let {X1, . . . , Xn} be a collection of i.i.d. exponential random variables, each with parameter = 1. Let {Y1, . . .

Let {X1, . . . , Xn} be a collection of i.i.d. exponential random variables, each with parameter = 1. Let {Y1, . . . , Yn} be a collection of i.i.d. continuous-uniform random variables with Yi Uniform[0, 4]. Assume that n is a large positive integer. Using the Central Limit Theorem, determine suitable values of , (these numbers can depend on n) such that

W = ( i=1nXi + i=1nYi + )

is well approximated by a standard Normal random variable

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