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Unformatted text preview: Z is then found from f Z ( z ) = Z ∞-∞ f Z ( z | y ) f Y ( y ) dy . One Function of Two RVs: Method 2 Let Z = X / Y . Determine the cdf and pdf f Z ( z ) . One Function of Two RVs: Method 2 The random variables X and Y have the joint density f X , Y ( x , y ) = ± x / y ≤ x ≤ y ≤ 2 otherwise Find the density of the product Z = XY . One Function of Two RVs: Method 2 Let Z = X / ( X + Y ) . Determine f Z ( z ) given x > 0 and y > 0. Example Let Z = X 2 + Y 2 . Determine f Z ( z ) ....
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- Fall '08
- Probability theory, probability density function, Cumulative distribution function, CDF