Problem 5. Assume that a fair coin is tossed 100 times. Let X, denote the number of heads in the ith toss, i = 1, ..., 100. (a) Find the exact probability P(C., X.) 2 60. (b) Use the CLT to approximate P (X", X.) > 60. (c) If you get exactly 60 heads after 100 tosses, should you be surprised and doubt that the coin is fair