A. A student has completed 20 courses in the School of Arts and Sciences. Hergrades in the 20 courses are shown below.1.2.Develop a frequency distribution and a bar chart for her grades.Develop a relative frequency distribution for her grades and construct a pie chart.B.You are given the following information on Events A, B, C, and D.18.104.22.168.22.214.171.124.Compute P(D).Compute P(A ∩ B).Compute P(A | C).Compute the probability of the complement of C.Are A and B mutually exclusive? Explain your answer.Are A and B independent? Explain your answer.Are A and C mutually exclusive? Explain your answer.Are A and C independent? Explain your answer.Sampling with a Pair of DiceGo to the link: http://www.random.org/dice/Roll the 2 virtual dice and calculate the sum of the pair of virtual dice. Do this 10times.Then after you have rolled the virtual pair dice 10 times and calculated 10 sumscalculate the average of these 10 sums.Conduct this experiment again but this time roll the virtual pair of dice 20 timesand calculate the 20 sums and then find the average of these 20 sums.Post your results and discussion how does this relates to the Central LimitTheorem.