Question

Suppose that the number of drivers who travel between a particular origin and destination during a designated time period has a Poisson distribution with parameter u = 33. What is the probability that the number of drivers will be strictly between 10 and 12, P(10<x<12)? Select one: 0 a. 1.97e-6 a b. 2.41e-5 C. 1.62e-5 d. 5.90e-6 e. 7.87e-6

Answer 1

Concept

For Poisson distribution

$P(X=x) = \frac{\lambda ^{k}*e^{-\lambda }}{k!}$

Solution

Now here we are asked to find P(10<X<12), where X is the number of drivers. Now, the number would be a whole number, a discrete value, so between 10 and 12, we have only one number, 11. So, effectively we need to find P(X=11)

So, P(10<X<12) = P(X=11)

3311 * e P(X = 11) = - 5.89902E – 06 11!

So, the answer is Option D