3. There are five flights daily from Pittsburg via US Airways into the Branford Regional airport in Bradford, Pennsylvania. Suppose the probability that any flight arrives late is 0.20. a. What is the probability that none of the flights are late today? b. What is the probability that exactly one of the flights is late today? c. What is the probability that all of the flights are late today? 4. According to UHV IT department, they receive an average of 2.0 emails per hour. Assume the Poisson distribution approximates the arrival of these emails. (a) What is the probability that UHV IT department will receive 1 email between 1 PM. and 2 PM. today? (b) What is the probability UHV IT department will receive 5 emails during the same period? (c) What is the probability UH'vr IT department will not receive any email during the period