Problem 3: Bank drive-through A bank branch has 4 drive-through lanes: lanes A, B, C, and D. (Tellers can handle up to 7 customers per lane per hour.) Customers arrive independently at each lane at an average rate of 4 customers per hour (per lane).

(a) What is the probability that 8 or more customers arrive at lane A in 1 hour?

(b) What is the probability that at least one of the lanes has 8 or more customers arrive in an hour?

(c) What is the probability that 16 or more customers arrive (for all 4 lanes) in 30 minutes?

-Round answers to 3 digits