A study by the NJNY Port Authority, showed that the average number of trains passing through Red Bank NJ is four per hour.

2. A study by the NJNY Port Authority, showed that the average number of trains passing through Red Bank NJ is four per hour. Assume the passing of these trains through Red Bank NJ is approximated by the Poisson distribution.

(a) Find the probability that no trains passed through Red Bank NJ between 7am and 10am on Monday.

(b) Find the probability that exactly three trains passed during this time.

(c) Find the probability that exactly four trains passed during this time.

(d) Find the probability that nine or more trains passed during this time.

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