Let X ∼ Uniform (0, 2). Consider a square with sidelength X. (a) Express the area A as function of X. (b) Find the CDF FX(x). (c) Find the PDF fX(x). (d) Determine the expected area of the square with sidelength X? by using the pdf fX(x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 37E
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Let X ∼ Uniform (0, 2). Consider a square with sidelength X. (a) Express the area A as function of X. (b) Find the CDF FX(x).
(c) Find the PDF fX(x).
(d) Determine the expected area of the square with sidelength X? by using the pdf fX(x).

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