First Bank of Springdale operates a one lane drive in ATM. Cars arrive according to Poisson distribution at the rate of 12 cars per hour. The time per car needed to complete the ATM transaction is exponential with mean 6 minutes. The lane can accommodate a total of 10 cars. Once the lane is full, other arriving cars seek service in another branch. Determine the following. a. The probability that an arriving car will not be able to use the ATM machine because the lane is full. b. The probability that a car will not be able to use the ATM immediately on arrival. c. The average number of cars in the lane.