Suppose you are a student residing in a dorm. The university's information technology unit decides to control the traffic transmitted to the dorm router. Students' requests to the Internet enter the router installed at the dorm entrance at a rate of 40 packets per second with a Poisson distribution. Packets come from three different units (rooms) so that 10% of the packets belong to unit 1, 20% belong to unit 2, and 70% belong to unit 3

. Answer the following

. A) What is the mean number of packets from unit1 and unit 2 transmitted to the router over the last minute provided that 60 packets from unit 2 have entered the router during this time?

B) Obtain the probability of 10 packets entering the router from unit 3 over 30 seconds.

C) Obtain the probability of 10 packets having entered the router over the past second provided that a total of 40 packets have entered the router during this time

D) Obtain the probability of 100 packets having entered the router between the seconds zero and 10 provided that 900 packets have entered the router over 30 seconds.