Show transcribed image text 10.For an online shopping website, 45 orders are expected to arrive each hour. The number of minutes from now until the website receives its next order as well as the number of minutes between orders have identical exponential distributions and all such times are mutually independent (a) Calculate the probability that the next order arrives during the next 3 minutes. (6 pts) (b) Determine the probability that five orders arrive during the next 10 minutes. (5 pts)
10.For an online shopping website, 45 orders are expected to arrive each hour. The number of minutes from now until the website receives its next order as well as the number of minutes between orders have identical exponential distributions and all such times are mutually independent (a) Calculate the probability that the next order arrives during the next 3 minutes. (6 pts) (b) Determine the probability that five orders arrive during the next 10 minutes. (5 pts)
