The Normal (or Gaussian) distribution has two primary intuitions: The “Bell Curve” of Nature: It models natural phenomena where most observations cluster around a central mean, with extreme val...

The negative binomial distribution has two primary intuitions: The “Waiting Time” Distribution: It models the number of trials ($k$) required to achieve a fixed number of successes ($r$). This ...

Probability Mass Function (PMF) The Probability Mass Function (PMF) of the geometric distribution calculates the probability that the first success occurs exactly on the k-th trial. The Formula ...

The exponential distribution is a continuous probability distribution used to model the time between events in a Poisson process (i.e., events that occur independently and at a constant average rat...

The Poisson distribution models the probability of a given number of events happening in a fixed interval of time or space, assuming these events occur with a known constant mean rate and independe...

The Binomial distribution is a cornerstone of probability theory that models the number of successes in a fixed number of independent trials. This distribution focuses on “yes/no” outcomes in a set...