Suppose a random variable X has a PDF 1 £x(x) = -ae' -a|z| -∞AXA ∞, 2 where a > 0. This is called the double exponential (or Laplace) distribution. Find the following PDF for each of the following transformations: (1) Y = |X|; (2) Y = X². =
Suppose a random variable X has a PDF 1 £x(x) = -ae' -a|z| -∞AXA ∞, 2 where a > 0. This is called the double exponential (or Laplace) distribution. Find the following PDF for each of the following transformations: (1) Y = |X|; (2) Y = X². =
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![Suppose a random variable X has a PDF
1
fx(x) = -ae ₂-a[r], -∞ < x <∞,
where a > 0. This is called the double exponential (or Laplace) distribution. Find the following
PDF for each of the following transformations:
(1) Y = |X|;
(2) Y = X².](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3ac928e5-512e-4357-878b-2b99614220d3%2F807dd188-bae3-4806-bcc3-8a4e386c498e%2F3xlspp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose a random variable X has a PDF
1
fx(x) = -ae ₂-a[r], -∞ < x <∞,
where a > 0. This is called the double exponential (or Laplace) distribution. Find the following
PDF for each of the following transformations:
(1) Y = |X|;
(2) Y = X².
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