The mixing law is a law of probability of a random variable obtained from a family of random variables in which a random variable is chosen at random from the given family of random variables, then the value of the random variable selected is performed.
The underlying random variables can be random real numbers or random vectors, the mixture distribution is a multivariate distribution.
In cases where each of the underlying random variables is continuous, the final variable will also be continuous and its probability density function is called the mixing density.
The distribution function can be expressed as a convex combination of other distribution functions and density functions.
Bernoulli's distribution :
Bernoulli's distribution designates the probability law of a discrete random variable which takes the value 1 with the probability p and 0 with the probability q = 1 – p.
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