#2

An ammunition contractor manufactures projectile detector equipment. It is crucial that the equipment will be able to detect the presence of any projectiles or missiles. The technology utilized would allow the equipment to detect missiles or any projectiles in 3 independent stages. Based on simulation runs each screening stage should be able to detect any incoming missile 85% of the time. a. What is the probability that the missile was abie to penetrate, and it was not detected by any screening levels of the equipment? b. What is the probability that it will be detected by at least 2 of the screening levels? c. Given that the missile was detected by the equipment what is the probability that it was not detected at the 2" stage of screening