An insurance company insures a large number of drivers. Let X be the
random variable representing the company's losses under collision insurance,
and let Y represent the company's losses under liability insurance. X and Y
have joint density function
fXY (x; y) =
(2x +2 - y)/4 0 < x < 1; 0 < y < 2
0 otherwise
What is the probability that the total loss is at least 1 ?