An anti-missile defense system has a 99% probability of detection of an incoming missile, that is and a 0.1% false detection probability, that is, the probability of detecting an incoming missile when in fact it is not an incoming missile. The probability that the defense system will kill an incoming missile is 80%. What is the joint detection and kill assuming the events independent? Assume 10 incoming missiles at the same time, what is the probability of detection and kill of all; assume independence?