USING PYTHON

Suppose that we continually roll a die until the sum of all throws exceeds 130. What is the most likely value of this total when you stop? We shall answer this question by numerical simulation. (a) [2 points] Generate a random number from rolling a die once. (b) [2 points] Generate one sample path of rolling a die until the sum of all those exceeds 130 (c) [2 points] Generate 10000 sample paths, each of which represents rolling a die until the sum of all those exceeds 130. You should not print all the values. Then compute the total sum of each sample paths. (d) [2 points] Draw the histogram, compute the sample mean, and compute the variance of the total sum from part (c)