2] {15} Suppose people arrive at an automated banking machine according to the conditions of a Poisson process at an average rate of It per hour. We also know that acts of all 15-minute intervals have no arrivals. a] Do you think the 3 condib'ons for a Poisson process would actually hold in this situation in reality? Why or why not? b} What percent have [exacby] c arrivals at the machine in an hour? c] What is the expected number and variance of arrivals in a workday to hours}? What is the expected number of arrivals in 5 mins? d} Let T be the total number of 15-minute intervals which must be observed until the 5"1 interval with no an'ivals at the machine occurs. Solve for the probability that a total of 3 intervals are observed to obtain the 5m interval with no arrivals. e] If E. 15-min intervals are needed to observe 5 with \"no an'ivals\