Exercise 2 (10 points). Now we want to calculate the theoretical expectation of what your couponCollector function would return if the random number generator were perfect, that is each integer from 0 to n - 1 is equally likely to occur in each sample. In particular, the running time of couponCollector is a random variable T(n), and we want to calculate its expectation E(T(n) (a) Consider a particular point in the process where we have already have seen exactly i numbers at least once (O