Let X denote the diameter of an electric wire and Y denote the diameter of the plastic casing that makes the wire cable. Both X and Y are scaled so that they range between 0 and 1. Suppose that X and Y have the joint density ;0 < x < y <1 Find the P(X+Y > 1/2) (in 2 decimal places, i.e X.XX ) f(x, y) = 0 ; elsewhere

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 67E
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Let X denote the diameter of an electric wire and Y denote the diameter of the plastic casing that makes the wire cable. Both X and Y are scaled so that they range between 0 and 1.
Suppose that X and Y have the joint density
f(x, y) = { y
;0 < x < y < 1
Find the P(X+Y > 1/2) (in 2 decimal places, i.e X.XX )
0 ; elsewhere
Transcribed Image Text:Let X denote the diameter of an electric wire and Y denote the diameter of the plastic casing that makes the wire cable. Both X and Y are scaled so that they range between 0 and 1. Suppose that X and Y have the joint density f(x, y) = { y ;0 < x < y < 1 Find the P(X+Y > 1/2) (in 2 decimal places, i.e X.XX ) 0 ; elsewhere
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