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What is the probability distribution that can be describe by just one parameter?

There are probably many probability distributions that have just one parameter. The most important one for statistical analysis is probably the Student t distribution.This probability distribution is fully described by a single parameter which is often called "degrees of freedom". The parameter describes the scale of the distribution, and not the location, since the Student t distribution is always centered at zero (unlike the normal distribution, which has a scale parameter, the variance, and a location parameter, the mean).Another example of a distribution that is described with a single parameter is the exponential distribution. Unlike the Student t distribution, it is a distribution that takes only positive values.


Is normal distribution also a probability distribution?

Yes. When we refer to the normal distribution, we are referring to a probability distribution. When we specify the equation of a continuous distribution, such as the normal distribution, we refer to the equation as a probability density function.


True or False A sampling distribution is a probability distribution for a statistic?

The statement is true that a sampling distribution is a probability distribution for a statistic.


Is A normal distribution is any distribution that is not unusual?

No, it is the name given to the Gaussian distribution.


Which distribution function has equal mean and variance?

The exponential distribution and the Poisson distribution.