Consider x and y independant gaussian random variables

Reference no: EM13211003

consider x and y independant Gaussian random variables with zero means and unity variance. 1. for an arbitrary new random does the following hold p(x,y/z)= p(x/z)p(y/z)? 2. let z= x+y. write the explicit expression of the pdf p(x,y/z). use the Dirac delta function if necessary.

Reference no: EM13211003

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Consider x and y independant gaussian random variables : consider x and y independant Gaussian random variables with zero means and unity variance. 1. for an arbitrary new random does the following hold p(x,y/z)= p(x/z)p(y/z)? 2. let z= x+y. write the explicit expression of the pdf p(x,y/z). use the Dir..

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