Given below is a bivariate distribution for the random variables e and y. f(x, y) x 0.3 50 80 0.6 20 30 0.1 50 60 a. Compute the expected value and the variance for t and y. E(x) = E(y) = Var(a) = Var(y) = b. Develop a probability distribution for æ+y (to 2 decimals). x +y f(x + y) 130 50 110 c. Using the result of part (b), compute E(x + y) and Var(x + y). E(x + y) : Var(z + y) = d. Compute the covariance and correlation for a and y. If required, round your answers to two decimal places. Covariance = Correlation =

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Given below is a bivariate distribution for the random variables e and y.
f(x, y) x
0.3
50
80
0.6
20
30
0.1
50
60
a. Compute the expected value and the variance for t and y.
E(x) =
E(y) =
Var(a) =
Var(y) =
b. Develop a probability distribution for æ+y (to 2 decimals).
x +y
f(x + y)
130
50
110
c. Using the result of part (b), compute E(x + y) and Var(x + y).
E(x + y) :
Var(z + y) =
d. Compute the covariance and correlation for a and y. If required, round your answers to two decimal places.
Covariance =
Correlation =
Transcribed Image Text:Given below is a bivariate distribution for the random variables e and y. f(x, y) x 0.3 50 80 0.6 20 30 0.1 50 60 a. Compute the expected value and the variance for t and y. E(x) = E(y) = Var(a) = Var(y) = b. Develop a probability distribution for æ+y (to 2 decimals). x +y f(x + y) 130 50 110 c. Using the result of part (b), compute E(x + y) and Var(x + y). E(x + y) : Var(z + y) = d. Compute the covariance and correlation for a and y. If required, round your answers to two decimal places. Covariance = Correlation =
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