Practice Traffic Flow - 19.X.4.4 | 19. Poisson Distribution | Mathematics - iii (Differential Calculus) - Vol 3
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Traffic Flow

19.X.4.4 - Traffic Flow

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define traffic flow in your own words.

💡 Hint: Think about why traffic management is important.

Question 2 Easy

What does λ represent in the context of traffic?

💡 Hint: It's about expectations in traffic.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does λ represent in the Poisson distribution?

The total number of vehicles
The average rate of vehicle arrivals
The time interval for vehicle arrivals

💡 Hint: It relates to predictions, not counts.

Question 2

True or False: The Poisson distribution is primarily used for continuous data.

True
False

💡 Hint: Think of what kind of data it represents.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A city traffic report states that on average, 120 vehicles arrive at a major intersection every hour. Using the Poisson distribution, calculate the probability of exactly 100 vehicles arriving in the next hour.

💡 Hint: Focus on calculating e^(-120), then compute (120^100) and divide by 100!.

Challenge 2 Hard

Design a simple experiment to observe traffic flow at a local intersection. Collect data for one hour and analyze it using the Poisson distribution. What insights can be derived?

💡 Hint: Think about how often cars arrive and how you can use that to predict future arrival rates.

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