Poisson Distribution

Calculation of Expected Value in Poisson Distribution

Calculation of Variance in Poisson Distribution

FAQs

1. What is the probability of x success in n trials of an independent event with probability success p?

The probability is given by

P(x) = ⁿC_x p^x  (1-p)^x 

2. What is the expected value for an independent event for n trials with probability success p?

The expected value is equal to the product of the number of trials and the success rate. Thus Expected value = n x p.

3. What is the formula of ^kC_n?

The formula is given by ^kC_{n = factorial(k)/(factorial(k-n)*factorial(n))}

4. What is the Poisson distribution formula?

The Poisson distribution formula is given by 

5. What are the application of the Poisson Distribution?

The Poisson Distribution is used to calculate the probability of the number of calls at a call centre, number of website visitors per month, number of arrivals at a restaurant etc.

Key Takeaways

We have extensively discussed the Poisson Distribution in this article.

We hope that this blog has helped you enhance your knowledge regarding the Poisson Distribution, and if you would like to learn more, check out our articles:

• Normal Distribution
• Law of total probability
• Prosecutor’s fallacy

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