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Suppose X and Y have independent standard normal distribu- tions. Make at least 1,000 random samples from Z , defined as Z = Y |(X

Suppose X and Y have independent standard normal distribu- tions. Make at least 1,000 random samples from Z , defined as Z = Y |(X + Y 1). Do you think that Z has a normal distribution? What are its approximate mean and standard deviation?

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