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Chad runs a DMV that prides itself on short lines. Chad knows that on a given...

  1. Chad runs a DMV that prides itself on short lines. Chad knows that on a given day, the DMV will have an average of 30 customers per hour, and each customer takes one hour with an employee. What is the probability that exactly 12 customers enter the DMV in one half hour? (Use Poisson Equation)

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Answer #1


Here, λ = 15 and x = 12
As per Poisson's distribution formula P(X = x) = λ^x * e^(-λ)/x!

We need to calculate P(X = 12)

P(x = 12) = 15^12 * e^(-15) /12!
= 0.0829

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