# Question: Patients arrive at the emergency room for a local hospital

Patients arrive at the emergency room for a local hospital at an average rate of 6.5 per hour. Assume the time between patient arrivals follows an exponential distribution.

a. What is the probability that the next patient will arrive in the emergency room within the next 3 minutes?

b. What is the probability that the next patient will arrive in the emergency room between the next 10 and 15 minutes?

c. What is the probability that the next patient will arrive in the emergency room after the next 12 minutes?

d. What is the probability that the next patient will arrive in the emergency room in exactly 12 minutes?

e. Use Excel to verify the results from parts a and b.

f. What is the standard deviation for this distribution?

a. What is the probability that the next patient will arrive in the emergency room within the next 3 minutes?

b. What is the probability that the next patient will arrive in the emergency room between the next 10 and 15 minutes?

c. What is the probability that the next patient will arrive in the emergency room after the next 12 minutes?

d. What is the probability that the next patient will arrive in the emergency room in exactly 12 minutes?

e. Use Excel to verify the results from parts a and b.

f. What is the standard deviation for this distribution?

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