A compendium of some common probability density functions

3 A compendium of some common probability density functions A random variable is said to be distributed as the uniform distribution if /(x) is given by 

The probability that the first decay takes place before t is therefore the complement of this expression to one since 

The cumulative distribution function of the time T to the first decay is 

The corresponding density of probability function/(f) is obtained as the derivative of F(t) 

Let us assume that probability of decay per unit time is constant, i.e., 

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