Compound area figuring out this problem . Thank you for those who are able to help with this .

Finding the bottom area:

12 + 2 = 14 x 2 = 28

Triangle Area: 4 + 2 = 6 x 4 = 24 divided by 2 is 12

Top left figure area is:

2 x 8 = 16

Add all of it together: 28 + 12 + 16 = 56

answer: expected value of x = 1.0

step-by-step explanation:

p(x=0) = 0.25

p(x=1) = 0.50

p(x=2) = 0.25

expected value for x = 0×0.25 + 1×0.5 + 2×0.25 = 1.0