John parks cars at a hotel. On the average, 6.0 cars will arrive in an hour. A driver's decision on whether to let John park the car does not depend upon any other person's decision. Define the random variable X to be the number of cars arriving in any hour period.

a. Wat is the appropriate probability distribution for X? Explain how X satisfies the properties of the distribution.
b. Compute the probability that exactly 5 cars will arrive in the next hour.]
c. Compute the probability that no more than 5 cars will arrive in the next hour.