Consider a triangle S in the plane with vertices at (0, 0), (1,0), and (1, 1). Let (X, Y) be a pair ofcontinuous random variables chosen using the uniform distribution over S; that isCalculate E[X|Y = 1/2].○ 1/4O 1/301/2○ 2/3○ 3/40 11fx,y (x, y) = Area(5), (x, y) = S0,otherwise.

Probability Distributions:Understanding of probability density functions (PDFs) and probability mass…

Answered: Consider a triangle S in the plane with…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.4: Values Of The Trigonometric Functions

Problem 23E

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Consider a triangle S in the plane with vertices at (0, 0), (1, 0), and (1, 1). Let (X, Y) be a pair of continuous random variables chosen using the uniform distribution over S; that is Calculate E[X|Y = 1/2]. ○ 1/4 01/3 01/2 2/3 3/4 1 fx,y (x, y) = Area(S)' 0, (x, y) = S otherwise.