Given below is a bivariate distribution for the random variables x and y. f(x, y) x y 0.2 50 80 0.3 30 50 0.5 40 60 (a) Compute the expected value and the variance for x and y. E(x)

Complete data:

f(x,y) x Y

0.2 50 80

0.3 30 50

0.5 40 60

Expected values for x and Y

E(x) = 39, E(Y) = 61

Variance for x and Y

E(x^2) = 1570

E(Y^2) =3830

Step-by-step explanation:

The detailed explanations are contained in the file attached

choice b is correct

step-by-step explanation:

we have been given the following system of inequalities;

we are required to graph the solution to the system of inequalities. using a graphing tool, the graph of the system is as shown in the attachment. the continuous line represents the graph of while the dotted line represents .

10.416 m/s

step-by-step explantion:

distance=100m

time= 9.6s

average speed=100/9.6

=10.416 m/s