Question

28. New patients arrive at the emergency room in Mercy Hospital at a mean arrival rate of 18.0 patients per hour.

a. What is the probability that no new patients will arrive at the emergency room within a 15-minute interval? Do not round intermediate calculations.

Round your answer to four decimal places. Probability = ???

b. What is the probability that more than one new patient will arrive at the emergency room within a 15-minute interval? Round intermediate probabilities to four decimal places. Do not round any other intermediate calculations.

Round your answer to four decimal places. Probability = ???

c. What is the probability that more than two new patients will arrive at the emergency room within a 15-minute interval? Round intermediate probabilities to four decimal places. Do not round any other intermediate calculations.

Round your answer to four decimal places. Probability =???

Answer 1

Mean = 18.0 patients per hour.

To find the mean number of patients arrive within 15 minute

mean = ( 15 * 18 ) / 60 = 4.5 patients per 15 minute

Part a)

Part b)

P ( X > 1 ) = 1 - P ( X <= 1 ) = 1 - 0.0611 = 0.9389

Part c)

P ( X > 2 ) = 1 - P ( X <= 2 ) = 1 - 0.1736 = 0.8264