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