A company is reviewing tornado damage claims under a farm insurance policy. Let X be the portion of a claim representing damage to the house and let Y be the portion of the same claim representing damage to the rest of the property. The joint density function of X and Y is
f (x,y) = 6 [1 - (x + y)] for x > 0, y > 0, x + y < 1
and 0 elsewhere
how do you determine the probability that the portion of a claim representing damage to the house is less than 0.2 ? thank you for your time