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On average, 10 patients visit a doctor’s surgery every hour. What is the probability that in...

On average, 10 patients visit a doctor’s surgery every hour. What is the probability that in the next 15 minutes, more than 1 patient will visit the surgery? Assuming the number of patients visiting a doctor’s surgery follows a Poisson distribution.

Math   Statistics-And-Probability   
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Answer #1

Here, = 10/60 * 15 = 2.5

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

               = 1 - (P(X = 0) + P(X = 1))

              

              = 1 - 0.2873

              = 0.7127

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