Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 times on any given day. Let Y denote the number of times a technician is called on an emergency call. Their joint probability distribution is given in the accompanying table. Determine the covariance between X and Y. Click the icon to view the joint probability distribution of X and Y.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Let X denote the number of times a certain numerical control machine will malfunction:
1, 2, or 3 times on any given day. Let Y denote the number of times a technician is
called on an emergency call. Their joint probability distribution is given in the
accompanying table. Determine the covariance between X and Y.
Click the icon to view the joint probability distribution of X and Y.
OXY =
(Type an integer or a decimal. Do not round.)
Machine Malfunctions
y
f(x,y)
1
3
5
1
0.10
0.05
0.00
X
2
0.10
0.05
0.25
3
0.05
0.35
0.05
-
X
Transcribed Image Text:Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 times on any given day. Let Y denote the number of times a technician is called on an emergency call. Their joint probability distribution is given in the accompanying table. Determine the covariance between X and Y. Click the icon to view the joint probability distribution of X and Y. OXY = (Type an integer or a decimal. Do not round.) Machine Malfunctions y f(x,y) 1 3 5 1 0.10 0.05 0.00 X 2 0.10 0.05 0.25 3 0.05 0.35 0.05 - X
If X and Y are independent random variables with variances o =
variance of the random variable Z= - 8X + 2Y - 9.
= 9 and o² = 8, find the
o² =
(Simplify your answer.)
Transcribed Image Text:If X and Y are independent random variables with variances o = variance of the random variable Z= - 8X + 2Y - 9. = 9 and o² = 8, find the o² = (Simplify your answer.)
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