The exponential distribution and the 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.
Yes, and is equal to 1. This is true for normal distribution using any mean and variance.
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.
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.
It is exp(20t + 25/2*t^2).
the variance of the uniform distribution function is 1/12(square of(b-a)) and the mean is 1/2(a+b).
yes
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.
Yes, and is equal to 1. This is true for normal distribution using any mean and variance.
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.
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.
It is exp(20t + 25/2*t^2).
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.
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.
The mean and standard deviation.
Standard deviation and variance
yes