1.5 Let Y, and Y2 have the joint probability density function given by 0 < y1 < y2 S1 elsewhere 0, 1.5.1 If k = 6, show that it makes f(V1,Y2) a joint probability density function. 1.5.2 The marginal densities for Y, and Y2 are found to be fi (y1) = 3(1 – yı)? and f2(y2) = 6y2(1- y2) respectively. In your own words explain how these marginal densities were obtained. 1.5.3 Identify the distribution of f2 (y2). 1.5.4 Show that f(yıly2) =. Y2 1.5.5 Motivate or show whether Y, and Y2 are dependent or independent.

1.5 Let Y, and Y2 have the joint probability density function given by 0 < y1 < y2 S1 elsewhere 0, 1.5.1 If k = 6, show that it makes f(V1,Y2) a joint probability density function. 1.5.2 The marginal densities for Y, and Y2 are found to be fi (y1) = 3(1 – yı)? and f2(y2) = 6y2(1- y2) respectively. In your own words explain how these marginal densities were obtained. 1.5.3 Identify the distribution of f2 (y2). 1.5.4 Show that f(yıly2) =. Y2 1.5.5 Motivate or show whether Y, and Y2 are dependent or independent.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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