geometric distribution

The geometric distribution models the number of independent trials needed to achieve the first success in a process where each trial has the same probability of success. Imagine repeatedly trying an activity, like flipping a coin until it lands on heads. The distribution answers questions such as: "On average, how many flips will it take to get the first heads?" Its key parameters include the probability of success on each trial. This distribution is useful in scenarios like quality control, sports, and reliability testing, where understanding the number of attempts until a success occurs is important.