Problem 27SE

Refer to Exercise 26.

a. Find μX.

b. Find

c. Find Cov(X, Y).

d. Find ρX,Y.

Solution :

Step 1 of 4

Given, the amount of copper is X and the amount of nickel is Y.

We assume that X and Y are the joint probability density function.

Our goal is to find :

a). Find

b). Find .

c). Find Cov(X,Y)

d). Find .

a).

Now we have to find .

The mean of x is

We are taking the limits 0 to 1.

We integrated then we get.

So

We integrated and applied the limits.

Therefore mean of X is 1.2857