Yahoo Answers: Answers and Comments for Quantitative methods problem? [Mathematics]
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From Helena
enUS
Sun, 25 Aug 2019 16:44:53 +0000
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Yahoo Answers: Answers and Comments for Quantitative methods problem? [Mathematics]
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https://answers.yahoo.com/question/index?qid=20190825164453AApQgep
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From Puzzling: First, I'll assume that the patient arriva...
https://answers.yahoo.com/question/index?qid=20190825164453AApQgep
https://answers.yahoo.com/question/index?qid=20190825164453AApQgep
Sun, 25 Aug 2019 18:24:50 +0000
First, I'll assume that the patient arrivals follow a Poisson distribution. Also, I'll assume that arrivals are independent so the prior history during the last 30 minutes should be independent of what will happen in the next hour.
The solution of the Poisson distribution function is given by the formula:
poisson(n,λ) = [λ^n * e^(λ)] / n!
You want to know the probability of exactly 0 arrivals (n = 0) when the standard rate in 1 hour is 8 arrivals (λ = 8)
poisson(0,8) = 8^0 * e^(8) / 0!
= 1 * e^(8) / 1
= 1/e^8
≈ 0.0003354