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Compute the answer of the following question

Question- Let Y=aX + b, where X and Y are random variables and a and b are constants. Assume that the random variable X is Gaussian with a mean value µ and variance σ2.

Part 1- How is the random variable Y distributed and what is its mean and variance?

Part 2- Write its probability density function.

I need help to find the probability density function of given question.

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