The noise voltage in a radar detection system is a Gaussian (0,1) random variable . When a target is present, the received signal is X=4+ volts, a Gaussian (4,1) random variable. Otherwise, the received signal is X= volts. Periodically, the detector performs a binary hypothesis test with null hypothesis H0: no target is present, and alternative hypothesis H1: a target is present. The acceptance sets for the test are A0={X≤x0} and A1={X>x0}. The probability of a target is P[H1]=0.01. In the case of a false alarm, the system issues an unnecessary alert at the cost of C10=1 unit. The cost of a miss is C01=13000 units because the missed target could cause significant damage.