The number of cars that arrive at a bank’s drive-through window between 3:00 p.m. and 6:00 p.m. on Friday follows a Poisson process at the rate of 0.41 car every minute. Compute the probability that the number of cars that arrive at the bank between 4:00 p.m. and 4:10 p.m. is:

(a) Exactly four cars. Interpret this result.

(b) Fewer than four cars. Interpret this result.

(c) At least four cars. Interpret this result.

(d) What is the number of cars expected to arrive during this time?

(e) What is the standard deviation of the random variable X, the number of cars arriving between 4:00 p.m. and 4:10 p.m.?