1.5 Let Y, and Y, have the joint probability density function given by 0 < y, < y2 < 1 elsewhere 6, show that it makes f(yı y2) a joint probability density function. 1.5.2 The marginal densities for Y, and Y, are found to be f, (y,) = 3(1– y,) and f2(y2) = 6y2(1 – y2) respectively. In your own words explain how these marginal 1.5.1 If k = %3D densities were obtained. 1.5.3 Identify the distribution of f2(V2). 1.5.4 Show that f(yi\y2) = . 1.5.5 Motivate or show whether Y and Y, are dependent or independent.
1.5 Let Y, and Y, have the joint probability density function given by 0 < y, < y2 < 1 elsewhere 6, show that it makes f(yı y2) a joint probability density function. 1.5.2 The marginal densities for Y, and Y, are found to be f, (y,) = 3(1– y,) and f2(y2) = 6y2(1 – y2) respectively. In your own words explain how these marginal 1.5.1 If k = %3D densities were obtained. 1.5.3 Identify the distribution of f2(V2). 1.5.4 Show that f(yi\y2) = . 1.5.5 Motivate or show whether Y and Y, are dependent or independent.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![1.5 Let Y, and Y, have the joint probability density function given by
fOry.) = (1-Y2),
0,
0 < y, <y2 < 1
elsewhere
1.5.1 If k = 6, show that it makes f(y, y2) a joint probability density function.
1.5.2 The marginal densities for Y, and Y, are found to be f, (y,) = 3(1 – y,)²
and f-(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 (yılyz):
1.
Y2
1.5.5 Motivate or show whether Y, and Y, are dependent or independent.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0428dbab-940b-4843-8f15-5ee4c65319fb%2F16763aca-3063-4691-b7c6-1ec80d36af95%2Fl6ze5i_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1.5 Let Y, and Y, have the joint probability density function given by
fOry.) = (1-Y2),
0,
0 < y, <y2 < 1
elsewhere
1.5.1 If k = 6, show that it makes f(y, y2) a joint probability density function.
1.5.2 The marginal densities for Y, and Y, are found to be f, (y,) = 3(1 – y,)²
and f-(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 (yılyz):
1.
Y2
1.5.5 Motivate or show whether Y, and Y, are dependent or independent.
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