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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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The discussion focuses on calculating the probability of student arrivals using the Poisson distribution, specifically for the scenario where the time between two consecutive arrivals falls within a specified range. Participants clarify that the average arrival rate (λ) is 2 students per hour, and the original equation used was not appropriate for determining the time interval between arrivals. Instead, they suggest using the Exponential distribution to model the waiting time for the next arrival. The final calculation concludes that the probability of no arrivals in the first 10 minutes and at least one arrival in the subsequent 40 minutes is approximately 0.527. The thread emphasizes the importance of correctly interpreting the problem's constraints and applying the right statistical methods.
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