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Let {Xijt- be a sequence of independent. exponentials with expectation If A. Fix 51 large. Let s; = [1 otherwise {1 we}? {a} {3 pt]

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Let {Xijt- be a sequence of independent. exponentials with expectation If A. Fix 51 large. Let s; = [1 otherwise {1 we}? {a} {3 pt] Find the exact distribution of Yn = n 31-. i=1 {b} {7' pt] Find an approz-dmate value for the probability 1P1}; 5 1n}. Justify your answer [which approximation did you use]. 1You should NOT use the exact distribution of Y\

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