Calculating Probability for Vehicle Traffic at a Dual Carriageway Junction

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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.
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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)
 
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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)
 

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