Name: Understanding Poisson Distribution
Uploaded: 2024-12-03
Duration: 1 min 19 s
Description: Understanding Poisson Distribution. Applications and Real-World Examples.

Understanding Poisson Distribution. Applications and Real-World Examples. 

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Introduction. The Poisson Distribution is a probability distribution that describes the likelihood of a given number of events occurring in a fixed interval of time or space, provided the events occur independently.. 

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The Poisson Distribution is a probability distribution that describes the likelihood of a given number of events occurring in a fixed interval of time or space, provided the events occur independently.

Key Properties. - Events occur randomly and independently. - The average rate of occurrence (λ) is constant. - The number of events is a non-negative integer.. 

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- Events occur randomly and independently. - The average rate of occurrence (λ) is constant. - The number of events is a non-negative integer.

Real-World Applications. - Call center: Number of customer calls per hour. - Traffic: Number of cars passing through a toll booth. - Biology: Number of mutations in a strand of DNA per unit length.. 

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- Call center: Number of customer calls per hour. - Traffic: Number of cars passing through a toll booth. - Biology: Number of mutations in a strand of DNA per unit length.

Example Problem. A call center receives an average of 5 calls per hour. What is the probability of receiving exactly 3 calls in an hour? Solution: P(X = 3) = (5^3 * e^(-5)) / 3! P(X = 3) ≈ 0.1404. 

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A call center receives an average of 5 calls per hour. What is the probability of receiving exactly 3 calls in an hour?
 Solution: P(X = 3) = (5^3 * e^(-5)) / 3! P(X = 3) ≈ 0.1404

Conclusion. In summary, the Poisson Distribution provides a powerful tool for analyzing random events in fixed intervals, with wide-ranging applications in various fields. We hope this presentation provided valuable insights.. 

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In summary, the Poisson Distribution provides a powerful tool for analyzing random events in fixed intervals, with wide-ranging applications in various fields.
 We hope this presentation provided valuable insights.

Thank You for Listening. Presented by: فيصل علي الشمراني سلمان هيثم المحمدي عبدالله حمد عطيان البلادي محمد حسين يحيى هاشم. 

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Presented by: فيصل علي الشمراني سلمان هيثم المحمدي عبدالله حمد عطيان البلادي محمد حسين يحيى هاشم

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