Is Y Normally Distributed with Mean \mu and Variance \sigma^2?

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fireboy420
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normally distributed random variable with mean m and variance σ2. Find the PDF of Y
 
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Is it Y that is normally distributed with mean [tex]\mu[/tex] and variance [tex]\sigma^2[/tex]? If so, why is there any question about Y's pdf? Are you leaving out some of the information?
 

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