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Equitable refers to fairness.
For example, an equal distrbution of marks in an exam would require that everyone got exactly the same score. An equitable distribution wold reflect the fact that some people gave better answers than others and so were more "deserving" of a higher mark.
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Which distribution function has equal mean and variance?
The exponential distribution and the Poisson distribution.
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.
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.
What is one of the goals of the equal distribution of wealth?
Socialism
