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= e-α|x|, #2. Let X be a Laplacian random variable with PDF fx(x) a> 0. Consider Y = X2, and find its PDF, fy(y). # 3. Let X be an exponential random variable with PDF fx(x) = ae-α* u(x), a> 0. Consider Y = = ex and find its PDF, fy(y).

= e-α|x|, #2. Let X be a Laplacian random variable with PDF fx(x) a> 0. Consider Y = X2, and find its PDF, fy(y). # 3. Let X be an exponential random variable with PDF fx(x) = ae-α* u(x), a> 0. Consider Y = = ex and find its PDF, fy(y).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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= # 2. Let X be a Laplacian random variable with PDF fx(x) = a > 0. Consider Y = X², and find its PDF, fy(y). e-ax, # 3. Let X be an exponential random variable with PDF fx(x) = ae¯αxu(x), a> 0. Consider Y = ex and find its PDF, fy(y).
Transcribed Image Text:= # 2. Let X be a Laplacian random variable with PDF fx(x) = a > 0. Consider Y = X², and find its PDF, fy(y). e-ax, # 3. Let X be an exponential random variable with PDF fx(x) = ae¯αxu(x), a> 0. Consider Y = ex and find its PDF, fy(y).
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