Question

In: Statistics and Probability

Based on data that was collected over the past several months, the average time between arrivals...

  1. Based on data that was collected over the past several months, the average time between arrivals to the Emergency Room on a Monday between the hours of 7am to 7pm is 35min. Emergencies occur at random, and hence the arrival of patients to the Emergency Room follows a purely random process.
    1. What probability distribution would you use to model the time between patient arrivals?
    2. Suppose a patient just arrived, what is the probability the next patient will arrive in less than 20 minutes?
    3. If the expected time between arrivals is 35min, what is the hourly expected rate of arrivals?
    4. What is the probability there will be three or less arrivals in the next hour?

Solutions

Expert Solution

Let X denote the average time between arrivals of patients


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