I think this is a binomial problem but not sure! Homeland security and missile d
ID: 2915600 • Letter: I
Question
I think this is a binomial problem but not sure!Homeland security and missile defense technology make it paramountthat we be able to detect incoming projectiles or missiles. To makethe defense successful, multiple radar screens are required.Suppose it is determined that the three independent screens are tobe operated and the probability that any one screen will detect anincoming missile is 0.8.
a) What is the probability that na incoming missle will not bedetected by any of the three screens?
b) What is the porbability that the missle will be detected by onlyone screen?
c) What is the porbability that it will be detected by at least twoout of the three screens?
Explanation / Answer
a) (0.2)3 = 0.008 b) 3*(0.8)(0.2)2 = 0.096 c) P(at least two) = 1-[P(none or one)] = 1 - [0.008+0.096] =0.896 Yes, this is binomial.