The number of patients who arrive at a hospital accident and emergency department in a day follows a Poisson distribution with an average of 8 patients per hour. A patient arrives at 11:30 AM. Find the probability that the two or fewer patients arrive before 11:50 AM.
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Step 1
Since there are 60 minutes in an hour and we want to find the probability of patients arriving in a 20-minute interval, we divide the average number of patients per hour by 3. Average number of patients per 20 minutes = 8 patients per hour / 3 = 8/3 patients per Show more…
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