Question: Using the random-number-generating routine on a personal computer, generate a sequence of 10, 100, and 1000 random numbers.
(a) Calculate the sample means and standard deviations of each sequence and compare with the average value and spread assumed in calling the routine.
(b) Compute histograms (sampled estimates of the probability distribution) for each sequence. What is the probability distribution used by the random number generator?
(c) Let x1, x2, and x3 each be 1000-number sequences generated by the random number routine. What is the histogram of (x1+x2)/2? Of (x1 + x2 + x3)/3?