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Divide the total number of incidents by the total time. The result, representing the average number of incidents per unit of time, is the mean as well as the variance of the Poisson distribution.

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Q: How do you calculate the mean and variance of a poisson distribution as a function of time t?
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Related questions

Which distribution function has equal mean and variance?

The exponential distribution and the Poisson distribution.

Are the mean and variance equal in the poisson distribution?


What are the properties of poisson distribution?

It is a discrete distribution in which the men and variance have the same value.

Are the mean and standard deviation equal in a poisson distribution?

The mean and variance are equal in the Poisson distribution. The mean and std deviation would be equal only for the case of mean = 1. See related link.

Can the variance of a normally distributed random variable be negative?

No. The variance of any distribution is the sum of the squares of the deviation from the mean. Since the square of the deviation is essentially the square of the absolute value of the deviation, that means the variance is always positive, be the distribution normal, poisson, or other.

Which distribution is used to find probabilities about the number of independent events occurring in a fixed time period with a known average rate?

The Poisson distribution. The Poisson distribution. The Poisson distribution. The Poisson distribution.

Is the Poisson probability distribution discrete or continuous?

The Poisson distribution is discrete.

If X has Poisson distribution does aX plus b have Poisson Distribution?


Why belong exponential family for poisson distribution or geometric distribution?

Why belong exponential family for poisson distribution

How do you compute the probability distribution of a function of two Poisson random variables?

we compute it by using their differences

How do you obtain the moment generating function of a Poisson distribution?

Using the Taylor series expansion of the exponential function. See related links

Obtaining moment generating function of poisson distribution?

The MGF is exp[lambda*(e^t - 1)].