The number of errors associated with a computer program follows a Poisson distribution with mean = 5. Suppose that we have 125 program submissions and let X {X,..., X125} be an i.i.d. random variable denoting the number of errors associated with each submission i. Compute the probability that the average number of errors in this sample, X = 125 121 X, is strictly less than 5.5. Show your work.