Calculating Probability for Vehicle Traffic at a Dual Carriageway Junction

  • Thread starter Thread starter amcsquared
  • Start date Start date
  • Tags Tags
    Probability
AI Thread Summary
The discussion revolves around calculating probabilities related to vehicle traffic at a dual carriageway junction, where vehicle passage follows a Poisson distribution with a mean of 1.6 vehicles per minute. Participants are asked to compute the probability of no vehicles passing in one minute, more than six vehicles in one minute, and fewer than three vehicles in five minutes. The conversation highlights the importance of understanding the probability density function of the Poisson distribution and its implications. Some members express concern about the appropriateness of the question in a homework forum context. Overall, the thread emphasizes the need for clarity on statistical concepts related to the Poisson distribution.
amcsquared
Messages
1
Reaction score
0
Can someone help me out with this? (its not for school)

During the night the number of vehicles passing a particular junction on a dual carriageway follows a Poisson distribution with a mean of 1.6 vehicles per minute. Calculate the probability:
(i) That in a one minute period no vehicles pass the junction. (1)
(ii) That in a one minute period more than 6 vehicles pass the junction. (2)
(iii) That in a five minute period fewer than 3 vehicles pass the junction. (3)
 
Last edited:
Physics news on Phys.org
Well, do you know what the probability density function for a Poisson distribution looks like? Do you know what the values of that function represent?
 
Even if this question really is not for school, it still belongs in a homework forum. (I moved it)
 

Thread 'Finding the number of ways to arrange identical balls in a circle (3 different colors)'

I tried to combine those 2 formulas but it didn't work. I tried using another case where there are 2 red balls and 2 blue balls only so when combining the formula I got ##\frac{(4-1)!}{2!2!}=\frac{3}{2}## which does not make sense. Is there any formula to calculate cyclic permutation of identical objects or I have to do it by listing all the possibilities? Thanks
View full post »

Thread 'Greatest possible value of a constant in polynomial'

Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
View full post »

Similar threads

Calculating Probability using the Poisson Distribution
Replies
35
Views
6K
Probability of Poisson event happening twice, consecutively
Replies
5
Views
2K
MHB Probability Distribution Problem
Replies
2
Views
2K
Poisson Distribution -- Rental of a number of television sets
Replies
13
Views
2K
Short Title:Probability Homework Questions
Replies
4
Views
3K
How Does the Poisson Distribution Calculate Tornado Probabilities in Georgia?
Replies
7
Views
2K
How Is the Conditional PMF Calculated for Car Arrivals at a Toll Station?
Replies
1
Views
5K
Standard deviation and probability for decay
Replies
5
Views
2K
Gap junction function in the nervous system
Replies
22
Views
5K
Chemically regenerating my auto's catalytic converter?
Replies
19
Views
7K

Hot Threads

Recent Insights

Back
Top