3) Given the joint distribution f(x1, x2) = a x,x2 for 0 < x, < 1, 0 < x, < 1, and 0 elsewhere , find a possible value for a first. Then determine one number b randomly in any meaningful way you like. (b # 0) and calculate i)P(bX, + bX2 < 1) ii )E(X, | X, = 1) - (E(X¡ | X, = 0.5)) Make sure to write down all the details that you actually went through while solving this exercise in a very clear manner.

3) Given the joint distribution f(x1, x2) = a x,x2 for 0 < x, < 1, 0 < x, < 1, and 0 elsewhere , find a possible value for a first. Then determine one number b randomly in any meaningful way you like. (b # 0) and calculate i)P(bX, + bX2 < 1) ii )E(X, | X, = 1) - (E(X¡ | X, = 0.5)) Make sure to write down all the details that you actually went through while solving this exercise in a very clear manner.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 31E

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