1)A random vector z = (x y) T has joint probability density given by: a)Sketch the graph of the probability density function pxy(X, Y ). b)Determine the value of the constant C. c)Determine the mean mz vector.

1)A random vector z = (x y) T has joint probability density given by: a)Sketch the graph of the probability density function pxy(X, Y ). b)Determine the value of the constant C. c)Determine the mean mz vector.

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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Question

1)A random vector z = (x y) ^T has joint probability density given by:
a)Sketch the graph of the probability density function p_xy(X, Y ).
b)Determine the value of the constant C.
c)Determine the mean m_zvector.

Pzy(X,Y) = { C (a – X –
=
C(a-X-Y),
0≤x≤ a, 0≤Y ≤a - X
0, caso contrário.

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