Consider Review Exercise 5.101. Suppose if is important, that the overall system be as near perfect as possible. Assuming the: quality of the screens are: as indicated in Review Exercise 5.101,

(a) How many are needed to insure that the probability that the missile gets through undetected is 0.0001?

(b) Suppose it is decided to stay with only 3 screens and attempt to improve the screen detection ability. What must be the individual screen effectiveness (i.e. probability of detection), in order to achieve the effectiveness required from (a)?