For each of the following functions, (i) find the constant c so that f(x) is a pdf of a random variable X,(ii) find the cdf, F(x) = P(X ≤ x), (iii) sketch graphs of the pdf f(x) and the cdf F(x), and (iv) find μ and σ2: (a) f(x)=4xc,0 ≤x≤1. (b) f(x)=c√x,0 ≤x≤4. (c) f(x)=c/x3/4,0 < x < 1.

For each of the following functions, (i) find the constant c so that f(x) is a pdf of a random variable X,(ii) find the cdf, F(x) = P(X ≤ x), (iii) sketch graphs of the pdf f(x) and the cdf F(x), and (iv) find μ and σ2: (a) f(x)=4xc,0 ≤x≤1. (b) f(x)=c√x,0 ≤x≤4. (c) f(x)=c/x3/4,0 < x < 1.

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 51E

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