Between the probability of union and intersection, it's not clear what you're supposed to compute. (I would guess it's the probability of union.) But we do know that

For parts (a) and (b), you're given everything you need to determine

.
For part (c), if

and

are mutually exclusive, then

, so

. If the given probability is

, then you can find

. But if this given probability is for the intersection, finding

is impossible.
For part (d), if

and

are independent, then

.
Answer:
4. About 2,700 in2
Step-by-step explanation:
The area of a circle (
), measured in square inches, is directly proportional to the square of its diameter (
), measured in inches. That is:


Where
is the constant of proportionality, dimensionless.
In consequence, the following relationship between circles A and B is obtained:

The area of the circle B is now cleared:

Given that
,
and
, then:


Therefore, the correct answer is 4.
All of the answer choices that you are given are incorrect. I have calculated it in all different ways and get the same thing and it is none of those. The correct answer would be -75 though.
Is there a picture or is it just that