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Verify that if Y has a beta distribution withα=β=1then Y has a uniform distribution over (0, 1). That is, the uniform distribution over the interval (0, 1) is a special case of a beta distribution.

Sagot :

The standard uniform distribution is a special case of the beta distribution when β = γ = 1.

A sort of probability distribution called the beta distribution encompasses all potential probabilities. With examples, let's go over its definition and formula. The Beta distribution is a continuous probability distribution that is defined by two positive parameters in probability and statistics. It is a kind of probability distribution that is used to depict the results or irrational behavior of percentages or proportions.

Let the random variable X ∼ beta(β, γ). The probability density function of X is mentioned in the picture given below which is the probability density function of a standard uniform random variable.

To know more about beta distribution visit: brainly.com/question/28932397

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