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30 Points] Suppose there are about 180 vehicles passing through a junction in a

ID: 3059512 • Letter: 3

Question

30 Points] Suppose there are about 180 vehicles passing through a junction in a given hour. Assume that the rate of vehicles is a constant and no two vehicles pass through the junction at the same time. Consider a one-minute period during this hour i. What is the probability that there are exactly 5 vehicles passing the junction? ii. What is the probability that there are more than 5 vehicles passing the junction? What is the probability that there are more than 3 and less than 8 ve passing the junction?

Explanation / Answer

30 Points] Suppose there are about 180 vehicles passing through a junction in a given hour. Assume that the rate of vehicles is a constant and no two vehicles pass through the junction at the same time. Consider a one-minute period during this hour i. What is the probability that there are exactly 5 vehicles passing the junction? ii. What is the probability that there are more than 5 vehicles passing the junction? What is the probability that there are more than 3 and less than 8 ve passing the junction?

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