Question

Given below is a bivariate distribution for the random variables x and y f(x,y) x y...

Given below is a bivariate distribution for the random variables x and y

f(x,y) x y
0.3 80 70
0.4 30 50
0.3 50 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)
150
80
110

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. If required, round your answers to two decimal places.

Covariance
Correlation
Math   Statistics-And-Probability   
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