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.) Consider the following function F: R → R given by {- F(x) = if x < 0 if x ≥ 0. (a) Show that F is a distribution function (CDF). (Hint: For right-continuity, show that for A > 0, lim-0 F(x+A) = F(x)) (b) Derive the pdf f(x)

.) Consider the following function F: R → R given by {- F(x) = if x < 0 if x ≥ 0. (a) Show that F is a distribution function (CDF). (Hint: For right-continuity, show that for A > 0, lim-0 F(x+A) = F(x)) (b) Derive the pdf f(x)

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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.) Consider the following function F: R → R given by {i- F(x) = if x < 0 if x ≥ 0. (a) Show that F is a distribution function (CDF). (Hint: For right-continuity, show that for A > 0, limo F(x + A) = F(x)) (b) Derive the pdf f(x)
Transcribed Image Text:.) Consider the following function F: R → R given by {i- F(x) = if x < 0 if x ≥ 0. (a) Show that F is a distribution function (CDF). (Hint: For right-continuity, show that for A > 0, limo F(x + A) = F(x)) (b) Derive the pdf f(x)
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