Traffic flow is traditionally modeled as a Poisson Distribution. A traffic engineer monitors the traffic flowing...

Traffic flow is traditionally modeled as a Poisson Distribution. A traffic engineer monitors the traffic flowing through an intersection with an average of 9 vehicles per minute.

What is the random variable X described above? Write the distribution of X using the standard notations.

What should be the variance and the standard deviation of the number of vehicles through the intersection within a minute?

What is the probability that exactly 12 vehicles will pass the intersection within a minute?

What is the probability that 10 or less than 10 vehicles will pass the intersection within a minute?

What is the probability that more than 10 vehicles will pass the intersection within a minute?

Expert Solution

SOLUTION:

GIVEN THAT

orchestra answered 2 years ago

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