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Right, so what is the probability of at least 1 arrival in (9:10, 9:50) ?sol59 said:
Calculating Probability using the Poisson Distribution
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Homework Help Overview
The discussion revolves around calculating probabilities using the Poisson distribution, specifically in the context of student arrivals in a classroom setting. The original poster presents a scenario where the average arrival rate is 2 students per hour and seeks to determine the probability that the time between two consecutive arrivals falls within a specified interval.
Discussion Character
- Exploratory, Conceptual clarification, Assumption checking
Approaches and Questions Raised
- Participants explore the parameters of the Poisson distribution, questioning the definitions of k (the number of events) and λ (the average rate of events). There is discussion about whether the original equation is appropriate for the problem at hand and suggestions to rephrase the question for clarity.
Discussion Status
Participants are actively engaging with the problem, questioning assumptions and clarifying definitions. Some guidance has been provided regarding the use of the Exponential distribution and the implications of the Poisson process. The conversation reflects a productive exploration of the problem without reaching a consensus on the solution.
Contextual Notes
There is an ongoing discussion about the constraints of the problem, particularly regarding the interpretation of the time intervals and the implications of the average arrival rate. Participants are considering how to accurately apply the Poisson distribution to the scenario described.
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