Methodist Hospital serves as a major trauma center for Indianapolis with one of the largest emergency departments in the country, averaging 11.0 ED patients per hour. Assume the number of ED patients arriving per hour follows the Poisson distribution.

a. What is the probability that six ED patients will arrive during the next hour?

b. What is the probability that three ED patients will arrive during the next 30 minutes?

c. What is the probability that seven or more ED patients will arrive during the next hour? (I suggest using Excel or the Poisson tables for this question.)

d. What is the probability that less than 10 ED patients will arrive during the next hour? (I suggest using Excel or the Poisson tables for this question.)