Requests of technical support in a Fortune 500 company arrive according to a Poisson process with an arrival rate of 36 hits per minute. Compute the following (apply the right equations and plug in the numbers - no need to calculate the result in an exact number). (a) Probability that during the first two minutes of operation, there are at least 50 hits. (b) Expected number of hits between the 2nd and the 5th minutes of the operation. (c) Probability that there are 18 hits between the 4th and 8th minute if by the 4th minute, there have been 100 hits. (d) Probability that in the first 5 minutes there are 150 hits given that in the first 3 minutes there have been 40 hits