A box contains ten sealed envelopes numbered 1 10 The first five contain no money the next three each con tains 5 and there is a 10 bill in each of the last two A sample of size 3 is selected with replacement so we have a random sample and you get the largest amount in any of the envelopes selected If X X and X denote the amounts in the selected envelopes the statistic of interest is the maximum of X X and X NO Obtain the probability distribution of this statistic b Describe how you would carry out a simulation experiment to compare the distributions of M for various sample sizes How would you guess the dis tribution would change as n increases