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.) Consider the following function F: R → R given by if x < 0 if x ≥ 0. F(x)= = (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)

.) Consider the following function F: R → R given by if x < 0 if x ≥ 0. F(x)= = (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)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 52E
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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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