19.X.4.4. Traffic Flow

Try these first

1. 1.

   Define traffic flow in your own words.

   Hint

   Think about why traffic management is important.

2. 2.

   What does λ represent in the context of traffic?

   Hint

   It's about expectations in traffic.

3. 3.

   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.

4. 4.

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

   • True
   • False

   Hint

   Think of what kind of data it represents.

5. 5.

   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!.

6. 6.

   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.