Suppose small aircraft arrive at a certain airport according to a Poisson process with rate α Poisson rv with parameter μ-8t, so that the number of arrivals during a time period of t hours is a Poisson rv with parameter μ-8t (Round your answers to three decimal places.) (a) -What is the probability that exactly 7 small aircraft arrive during a 1-hour period? -What is the probability that at least 7 small aircraft arrive during a 1-hour period? -What is the probability that at least 10 small aircraft arrive during a 1-hour period? (b) What is the expected value and standard deviation of the number of small aircraft that arrive during a 90-min period? expected valuestandard deviation (c) -What is the probability that at least 27 small aircraft arrive during a 2.5-hour period? -What is the probability that at most 14 small aircraft arrive during a 2.5-hour period?