Homeland Security and missile defense technology make it paramount that we be able to detect incoming projectiles or missiles. To make the defense successful, multiple radar screens are: required. Suppose it is determined that three independent screens are to be operated and the probability that, any one screen will detect an incoming missile is 0.8. Obviously, if no screens detect an incoming projectile, the system is unworthy and must be improved.

(a) What is the probability that an incoming missile will not be detected by any of the three screens?

(b) What is the probability that the missile will be detected by only one screen?

(c) What is the probability that it will lie detected by at least two out of throe screens?