f(x) = (2x 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.4: Plane Curves And Parametric Equations
Problem 44E
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8. Let X₁, X2 X3 and X4 be mutually independent rv's and each have pdf
(2x
0<x< 1
0
elsewhere
What is the joint pdf f(x1,x2, x3, x4)?
b. Please calculate E[5X₁X2X4+3X2X3²]?
c. What is P(X₁<1/3, X3<1/3, X2<1/3,)?
f(x) =
a.
Transcribed Image Text:8. Let X₁, X2 X3 and X4 be mutually independent rv's and each have pdf (2x 0<x< 1 0 elsewhere What is the joint pdf f(x1,x2, x3, x4)? b. Please calculate E[5X₁X2X4+3X2X3²]? c. What is P(X₁<1/3, X3<1/3, X2<1/3,)? f(x) = a.
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