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The exponential distribution and the Poisson distribution.

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12y ago

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What is the variance of the uniform distribution function?

the variance of the uniform distribution function is 1/12(square of(b-a)) and the mean is 1/2(a+b).


Are the mean and variance equal in the poisson distribution?

yes


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.


Is total area under a normal distribution finite?

Yes, and is equal to 1. This is true for normal distribution using any mean and variance.


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

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.


What is the different between standard normal distribution and normal distribution?

A normal distribution can have any value for its mean and any positive value for its variance. A standard normal distribution has mean 0 and variance 1.


What is the moment generating function for normal distribution with mean 20 and variance 25?

It is exp(20t + 25/2*t^2).


When distribution has zero variance?

When a distribution has zero variance, it means that all the values in the dataset are identical; there is no variability or spread among the data points. Essentially, every observation is equal to the mean, resulting in a distribution that is a single point. This condition indicates complete certainty and no risk, as there is no deviation from the mean. In practical terms, a zero variance suggests that the dataset lacks diversity or fluctuation in its values.


What properties distinguishes standard normal distribution from other normal distribution?

The normal distribution can have any real number as mean and any positive number as variance. The mean of the standard normal distribution is 0 and its variance is 1.


What are the parameters of normal distribution?

The mean and standard deviation.


What are 2 properties of a Distribution Mean?

Standard deviation and variance


Is in binomial distribution mean always greater then variance?

yes