📂Probability Distribution

The Relationship between Exponential Distribution and Poisson Distribution

Theorem

When the time it takes for an event to occur is given by $X_{k}$, and if $X_{k} \sim \exp (\lambda)$, then the number of occurrences of an event per unit time is given by $N$, and $\displaystyle N \sim \text{Poi} (\lambda)$