Question

#6. 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 tha at least 4 people enter the casino during that time

          #6. 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 tha at least 4 people enter the casino during that time

Added by Joshua L.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Suman K

07/01/2022

Step 1

00 and 12.05 is given by the Poisson distribution formula: \[ P(X = 0) = e^{-\lambda} \frac{\lambda^0}{0!} \] where \( \lambda = 2.5 \). Plugging in the values, we get: \[ P(X = 0) = e^{-2.5} \frac{2.5^0}{0!} = e^{-2.5} \approx 0.0821 \] Therefore, the Show more…

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