Understanding Poisson Distribution

Understanding Poisson Distribution. Applications and Real-World Examples.

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..

Key Properties. - 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..

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.

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..

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