People enter a gambling casino at a rate of 1 every 2 minutes. (a) What is the probability that no one enters between 12: 00 and $12: 05 ?$ (b) What is the probability that at least 4 people enter the casino during that time?
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Step 1
Given that the rate of people entering the casino is 1 every 2 minutes, the rate for 5 minutes is 2.5 people. This corresponds to a Poisson distribution with λ = 2.5. Using the Poisson probability formula, we have: P(X = 0) = e^(-2.5) = 0.0821 Show more…
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