Poisson Distribution Video Lecture | Quantitative Aptitude for CA Foundation

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FAQs on Poisson Distribution Video Lecture - Quantitative Aptitude for CA Foundation

1. What is the Poisson distribution?
Ans. The Poisson distribution is a probability distribution that is used to model the number of events that occur in a fixed interval of time or space. It is often used when the events occur independently and at a constant average rate.
2. How is the Poisson distribution calculated?
Ans. The Poisson distribution is calculated using the formula P(x; λ) = (e^(-λ) * λ^x) / x!, where x represents the number of events, λ is the average rate of events, e is Euler's number (approximately 2.71828), and x! denotes the factorial of x.
3. What are the characteristics of the Poisson distribution?
Ans. The Poisson distribution has several key characteristics. Firstly, it is discrete, meaning that it can only take on integer values. Secondly, it is positively skewed, with a longer tail on the right side. Lastly, the mean and variance of the Poisson distribution are equal and are both equal to the average rate parameter λ.
4. In what situations can the Poisson distribution be applied?
Ans. The Poisson distribution can be applied in various scenarios, such as estimating the number of customer arrivals in a given time period, analyzing the number of accidents on a road, predicting the number of phone calls received by a call center, or determining the number of emails received per day.
5. How does the Poisson distribution differ from other probability distributions?
Ans. The Poisson distribution differs from other probability distributions in several ways. Unlike the binomial distribution, which models the number of successes in a fixed number of trials, the Poisson distribution models the number of events in a fixed interval of time or space. Additionally, the Poisson distribution does not have a fixed number of trials, as it is applicable to situations where the number of events can vary.
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