1. Suppose that X1 and X2 are random variables with zero mean and unit variance. If the correlation coefficient of X1 and X2 is -0.5, then what is the variance of Y =E-k²Xk ? %3D k=1
1. Suppose that X1 and X2 are random variables with zero mean and unit variance. If the correlation coefficient of X1 and X2 is -0.5, then what is the variance of Y =E-k²Xk ? %3D k=1
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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If the joint density of the random variables X and Y is
حل سؤال الثاني في ورقه
Transcribed Image Text:Exercises
1. Suppose that X1 and X2 are random variables with zero mean and unit
variance. If the correlation coefficient of X1 and X2 is –0.5, then what is the
variance of Y = =k2Xk ?
Lk=1
2. If the joint density of the random variables X and Y is
if (x, y) E { (x,0), (0, -y)|x, y = -2, –1, 1,2}
f(x, y)
otherwise,
3. Su
the random variables X and Y are inde
lent and identically
distributed. Let Z = aX +Y. If the correlation coefficient between X and
Z is , then what is the value of the constant a ?
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