A submarine can carry 3 large missiles. X is the range error, i.e. the missile impact point with respect to the target in feet and the error probability density function is:
F(x)= { (100+x)/10,000 -100<x<0
(100-x)/10,000 0<x<100
0 elsewhere
(i) Compute the probability of a successful operation (i.e., an operation in which at least one hit is a success) if all 3 missiles are launched and a hit within 40 feet of the target is considered a success.