Let X be a R.V. with a gamma distribution and the following parameters (X~(α, 1)). What...

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Question

Let X be a R.V. with a gamma distribution and the following parameters (X~(α, 1)). What...

Let X be a R.V. with a gamma distribution and the following parameters (X~(α, 1)). What is the pdf and the cdf of Y = X/β, where β > 0 . What is the name of this type of distribution?

math Statistics-And-Probability

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Answer 1

Answer #1

The pdf function of X is

Now,

The cumulative density function of Y = X/β is

and the probability density function of Y can be written as

So,

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Answer 2

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