Each of the distributions below could be used to model the timespent studying for an exam. Take 1,000 random samples of size 25from each of the distributions below. In each case (a,b,c), plotthe empirical distribution of the sample mean, estimate the mean ofthe sample mean, and estimate the standard deviation of the samplemean. Compare the results to the theoretical results.
a. N(5, 1.52)
b. Unif(0,10)
c. Gamma(5,1)