Bernoulliprosessen
Bernoulli's process, also known as the Bernoulli sequence or Bernoulli trial, is a fundamental concept in probability theory and statistics. It is a sequence of independent and identically distributed (i.i.d.) Bernoulli random variables. Each trial in a Bernoulli process has two possible outcomes, typically labeled as "success" and "failure". The probability of success is denoted by p, and the probability of failure is 1-p. This process is named after the Swiss mathematician Jacob Bernoulli, who first studied it in the 17th century.
The Bernoulli process can be used to model a wide range of real-world phenomena, such as coin
In mathematical terms, a Bernoulli process can be defined as a sequence of random variables {Xn}, where
The expected value (mean) of a Bernoulli random variable X is E[X] = p, and its variance is