Cho biết X và Y là hai biến ngẫu nhiên độc lập. Tính I=Var(5X-7Y+2010) biết các phương sai VarX=a và VarY=b.

Step-by-step explanation:

First things first, we would need to find the area of both circles.

Let's find the blue one first.

Use the circle area formula.

Now we need to find the radius of the circle.

Since they have the same center, we can add up the radius of the white circle and the line from the blue circle.

The radius of the white circle is half of the diameter so the radius is 11.

So the whole radius is 11 + 21 or 32.

Plug in 32 for .

So the area of the blue circle is 3215.36.

Now we need to find the area of the white circle.

Use the same formula and radius found above.

So the area of the white circle is 379.94.

To find the area of the shaded region, all we have to do is subtract the area of the white circle from the area of the blue circle.