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
Determine the probability that the portion of a claim representing damage to the house is less than 0.2.
What I did was establish since X represents damage to the house. Then I integrated the function from 0 to 0.2 and I got an answer of 0.48, however, the actual answer is 0.488.