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Problem #7 (20 25.2 (Est. time -- 20 min! At each minute, packets arrive at a node in a communication network according to a Bernoulli process, with probability of arrival p = 0.09. a) What is the probability that 3 packets arrive in the interval from 1 to 20 minutes, 6 packets arrive in 1 to 40 minutes and 12 packets arrive in 1 to 80 minutes? b) The input queue at the node has a capacity of 103 packets. A packet is dropped ifthe queue is full. What is the probability that one or more packets are dropped in a time interval of length 10000 minutes? Use Poisson and Normal distributions as appropriate to compute the probabilities