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Let X 1 , . . . , X 100 be a sequence of independent and identically distributed (iid) random variables with mean = 2

Let X₁, . . . , X₁₀₀ be a sequence of independent and identically distributed (iid) random variables with mean = 2 and ² = 4.

(a) Calculate the following probability, approximately P((_i=1¹⁰⁰ (X_i < 220)) .

(b) Calculate E[3X₁ + X₆ X₃₅].

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