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Q: Is normal distribution function has equal mean and variance?
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Which distribution function has equal mean and variance?

The exponential distribution and the Poisson distribution.


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.


Are the mean and variance equal in the poisson distribution?

yes


How do you derive variance of Pareto distribution?

var(X) = (xm/a - 1)2 a/a-2 . If a < or equal to 2, the variance does not exist.


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.


The total area under a normal distribution is infinite?

The total area under a normal distribution is not infinite. The total area under a normal distribution is a continuous value between any 2 given values. The function of a normal distribution is actually defined such that it must have a fixed value. For the "standard normal distribution" where μ=0 and σ=1, the area under the curve is equal to 1.


Does mode equal median in a normal distribution?

Yes, mode equals median in a normal distribution.


What is the perfect standard normal distribution?

The standard normal distribution is a subset of a normal distribution. It has the properties of mean equal to zero and a standard deviation equal to one. There is only one standard normal distribution and no others so it could be considered the "perfect" one.


What is the expected value of the standard normal distribution equal to?

The expected value of the standard normal distribution is equal to the total amount of the value. It is usually equal to it when the value works out to be the same.


Give three properties of a normal distribution function?

1.it is bell shaped.2.m.d=0.7979 of s.d 3.total area under the normal curve is equal to 1.


Are the mean and median equal in a normal distribution?

Yes.


Is the mode and median equal in a normal distribution?

Yes.