Trucks and cars on highway us 421 are poisson processes with rate 40 and 100 per hour respectively. 1/8 of the trucks and 1/10 of the cars get off on exit 257 to go to the bojangle’s in yadkinville. (a) find the probability that exactly 6 trucks arrive at bojangle’s between noon and 1pm. (b) given that there were 6 truck arrivals at bojangle’s between noon and 1pm, what is the probability that exactly two arrived between 12: 20 and 12: 40? (c) suppose that all trucks have 1 passenger while 30% of the cars have 1 passenger, 50% have 2, and 20% have 4. find the mean and standard deviation of the number of customers are that arrive at bojangles’ in one hour.