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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section: Chapter Questions

Problem 27T

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Question

(a) What is the value of k? (b) What is the probability P(X>0.5 , Y>0.5)? (c) What is the probability P(X>Y>0)?

Suppose that we have 2 random variables X and Y with joint probability density function
fxy(x,y) = k (7 x + 7 y), for 0<x<1, 0<y<1
0,
otherwise
for some constant k. Give your answers to 2 decimal places.

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