True or False: For any uniform probability distribution, the mean and the standard deviation can be computed based on the maximum and minimum values of the random variable.

True. In a uniform probability distribution, the properties of the distribution are defined by the minimum and maximum values.

The mean (average) of a uniform distribution is calculated as:

Mean = (Minimum + Maximum) / 2

And the standard deviation, which measures the dispersion of the distribution, is calculated as:

Standard Deviation = (Maximum – Minimum) / √12

These formulas show that you can indeed find both the mean and the standard deviation directly from the maximum and minimum values of the random variable in a uniform distribution.