# Given below is a bivariate distribution for the random variables x and y. f(x, y) x y 0.3 50 80 0.2 30 50 0.5 40 60 (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. x + y f(x + y) 130   80   100   (c) Using the result of part (b), compute  E(x + y)  and  Var(x + y). E(x + y) = Var(x + y) =

Question
Given below is a bivariate distribution for the random variables x and y.
f(x, y)
x y
0.3 50 80
0.2 30 50
0.5 40 60
(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.
x + y
f(x + y)
130
80
100
(c)
Using the result of part (b), compute
E(x + y)
and
Var(x + y).
E(x + y)
=
Var(x + y)
=
(d)
Compute the covariance and correlation for x and y. (Round your answer for correlation to two decimal places.)
covariancecorrelation
Are x and y positively related, negatively related, or unrelated?
The random variables x and y are  ---Select--- positively related negatively related unrelated .

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