1.5 2.8 4.9 5.2 10.1 10.6 12.3 13.6 17.7 18.6 19.8 22.0 24.5 26.1 29.0 What is P(3), to have 3 vehicles arriving within t= 5 sec, and P(>1), to have more than 1 vehicle arriving within t = 5 sec , calculated from both data and estimated by the Poisson distribution? Estimate using the Exponential distribution. What are the chances of: -P(h <1), headway "h" up to 1 sec, -P(h > 2), h greater than 2 sec? -P(1

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A data collection at a toll facility during a 30 sec total observation time revealed that vehicles are arriving at the following times (in sec):
1.5
2.8
4.9
5.2
10.1
10.6
12.3
13.6
17.7
18.6
19.8
22.0
24.5
26.1
29.0
What is P(3), to have 3 vehicles arriving within t = 5 sec, and P(>1), to have more than 1 vehicle arriving
within t= 5 sec , calculated from both data and estimated by the Poisson distribution?
Estimate using the Exponential distribution. What are the chances of:
-P(h < 1), headway “h" up to 1 sec,
-P(h > 2), h greater than 2 sec?
-P(1 <h< 2), h between 1 and 2?
Transcribed Image Text:1.5 2.8 4.9 5.2 10.1 10.6 12.3 13.6 17.7 18.6 19.8 22.0 24.5 26.1 29.0 What is P(3), to have 3 vehicles arriving within t = 5 sec, and P(>1), to have more than 1 vehicle arriving within t= 5 sec , calculated from both data and estimated by the Poisson distribution? Estimate using the Exponential distribution. What are the chances of: -P(h < 1), headway “h" up to 1 sec, -P(h > 2), h greater than 2 sec? -P(1 <h< 2), h between 1 and 2?
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