1) Data for the number of teliphone calls received in an admissions office for an entire school year (200 days) for the hour between 12:00 PM. and 1.00 P.M. is given in the table below: Let the random variable x = number of calls received in one dyy (a) Fill in the table below with the estimated probability distribution of x, and sketeh a probability histogram for x. Prohahilitv Distritution b) Using your estimsted probabilities in part (a), estimate the following. (i) P(X=1), the probability of roveiving 1 call in ene diny between 12 P.M. and I P.M. (ii) P(x<3), the probability that fewer than 3 calis are received in one disy between 12 P.M. and 1P.M (iii) P(x3), the probability that at least 3 calls are roceived in one day between 12 P.M. and 1P.M.