## 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) = ^{n}C_{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 **^{k}C_{n}**?**

The formula is given by** **^{k}C_{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.

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