A submarine can carry 3 large missiles. The only error is in one direction (e.g. a range error but no sideways error) and the error density function is:

f(x)= (100+x)/10,000 f(x)= (100 +x)/10000 -100(100-X)/10,000 (100 -x)/10000 00 0 elsewhere

(a) 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 miles of the target is considered a success.

(b) The submarine can carry 8 missiles of a smaller size. However, a hit must be within 15 miles to be successful. The error density function is the same as for the larger missiles. Calculate the probability of a successful operation.

(c) Should the light or heavy missiles be used?