Given below is a bivariate distribution for the random variables and y. f(x, y) x Y 0.2 0000 0.4 50 20 0.4 50 a. Compute the expected value and the variance for x and y. E(x) = E(y) = Var(x) = Var(y) = b. Develop a probability distribution for x + y (to 2 decimals). x + y f(x + y) 130 60 110 c. Using the result of part (b), compute E(x + y) and Var(x + y) . E(x + y) = 80 40 60

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Var(x + y)
d. Compute the covariance and correlation for x and y. If required, round your answers to two decimal places.
=
Covariance =
Correlation =
The random variables and y are Select your answer -
e. The variance of the sum of and y is
By how much?
- Select your answer -
Select your answer - ✓the sum of the individual variances.
Transcribed Image Text:Var(x + y) d. Compute the covariance and correlation for x and y. If required, round your answers to two decimal places. = Covariance = Correlation = The random variables and y are Select your answer - e. The variance of the sum of and y is By how much? - Select your answer - Select your answer - ✓the sum of the individual variances.
Given below is a bivariate distribution for the random variables x and y.
f(x, y) x
Y
0.2
E(x):
=
0.4
a. Compute the expected value and the variance for x and y.
E(y) =
=
Var(x) =
Var(y) =
x + y
130
60
110
b. Develop a probability distribution for x + y (to 2 decimals).
0000000
E(x + y):
0.4
=
50
f(x y)
20
50
c. Using the result of part (b), compute E(x + y) and Var(x + y).
80
40
60
Transcribed Image Text:Given below is a bivariate distribution for the random variables x and y. f(x, y) x Y 0.2 E(x): = 0.4 a. Compute the expected value and the variance for x and y. E(y) = = Var(x) = Var(y) = x + y 130 60 110 b. Develop a probability distribution for x + y (to 2 decimals). 0000000 E(x + y): 0.4 = 50 f(x y) 20 50 c. Using the result of part (b), compute E(x + y) and Var(x + y). 80 40 60
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