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

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

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.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

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.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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!.

Question 2

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.

Challenge and get performance evaluation