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

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What is the variance for the uniform random variable?

the variance of the uniform distribution is (a+b)/12


Which distribution function has equal mean and variance?

The exponential distribution and the Poisson distribution.


Is normal distribution function has equal mean and variance?

In a normal distribution, the mean and variance are not inherently equal; they are independent parameters. The mean indicates the center of the distribution, while the variance measures the spread or dispersion of the data. However, in a specific case where the mean is set to zero (0) and the variance is set to one (1), they can be equal in value, but this is not a general characteristic of all normal distributions.


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.


Is uniform distribution bimodal?

The modes of a probability density function might be defined as the (countable) set of points in the domain of the function for which the function achieves local maxima. Since the probability density function for the uniform distribution is constant by definition it has no local maxima, hence no modes. Hence, it cannot be bimodal.


What is the word for uniform distribution?

The term for uniform distribution refers to a statistical distribution where every outcome is equally likely to occur. In a continuous uniform distribution, this is represented by a constant probability density function over a specified interval. In discrete cases, each individual outcome has the same probability, making it a flat probability mass function. In both cases, the distribution is characterized by a lack of bias toward any particular value.


The probability density function for a uniform distribution ranging between 2 and 6 is?

4


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

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


Uniform distribution and moment generating function?

See: http://en.wikipedia.org/wiki/Uniform_distribution_(continuous)


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.


Does a leptokurtic distribution have a larger variance than Mesokurtic distribution?

yes


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.

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