5. A computer routine selects one of the integers 1, 2, 3, 4, 5 at random and replicates the process a total of 100 times. Let S denote the sum of the 100 numbers selected. Calculate the approximate probability that S assumes a value between 280 and 320 inclusive. In the above question, please tell me how we know that S conforms to Uniform Distribution, Kindly reply.
