Question: The number of trucks arriving at an inspection station located on busy highway is a poisson random variable with an average of 8 trucks per hour.

(a) What is the probability that fewer than 4 trucks arrive during a particular one-hour period?

(b) What is the probability that more than three but fewer than eight trucks arrive during a particular one-hour period.

(c) Compute the probability that more that two but fewer than six trucks arrive during a 30-minute period.

(d) Use an appropriate approximation to find the probability that more than 130 trucks arrive in a time span of 18 hours.