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A random variable X is said to have a standard normal distribution if X is absolutely continuous with density given by dPx Construct (ie, give

A random variable X is said to have a standard normal distribution if X is absolutely continuous with density given by


dPx Construct (ie, give an example of) a probability space (Ω,F,P) and a random variable X : Ω → R on (Ω, F,P) such that X has a standard normal distribution. In your example, be sure to verify that X does indeed have a standard normal distribution

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