Question

You are managing an emergency room admissions center. you know, historically that saturday evening's shift (5:00 pm to 1:00 am) is especially busy. on average, you see 150 patients on the saturday evening shift. euler's number is 2.7183. what is n?

Answer 1

To calculate the probability of getting more than five patients per hour in the emergency room using a Poisson distribution.

Step-by-step explanation:

In this scenario, we are interested in finding the probability that the emergency room (ER) gets more than five patients per hour. This problem can be modeled using a Poisson distribution because it involves counting the number of events (patients) that occur in a given time period (hour). The Poisson distribution is appropriate when the events occur randomly, independently, and at a constant rate, which is the case for the ER

The average number of patients per hour is 5. Let's denote this as λ (lambda). Using the Poisson distribution formula, the probability mass function can be calculated as:

P(X > 5) = 1 - P(X ≤ 5)

P(X ≤ 5) is the cumulative probability of getting 5 or fewer patients in an hour, which can be calculated using the Poisson distribution. By subtracting this cumulative probability from 1, we can find the probability of getting more than 5 patients in an hour.