Customers to a local restaurant arrive in groups of l to 6 people. Based on collected data, arrivals occur in batches 1,2,... ,6 according to the following frequency (out of 200 arrivals observed). 20 73 36 52 , 13 , 6. u u in group size, frequency = GEO'IJPOJNrI (3) Assuming this is a good representation of the probability mass function, calculate the PMF of X. (b) Write down the analytical form of the CDF of X. (0) Plot both the CDF and PMF of X. (d) Find E[X] and var(X). (e) Find P(3 S X