2.11 A one-way street has a fork in it, and cars arriving at the fork can either bear right or left. A car arriving at the fork will bear right with probability 0.6 and will bear left with probability 0.4. Cars arrive at the fork in a Poisson manner with a rate of 8 cars per minute.

a. What is the probability that at least 4 cars bear right at the fork in 3 min?

b. Given that 3 cars bear right at the fork in 3 min, what is the probability that 2 cars bear left at the fork in 3 min?

c. Given that 10 cars arrive at the fork in 3 min, what is the probability that 4 of the cars bear right at the fork?