SOLUTION: Military radar and missile detection system are designed to warn a country of an enemy attack. A
reliability question is whether a detection system will be able to identify an att
Algebra.Com
Question 447361: Military radar and missile detection system are designed to warn a country of an enemy attack. A
reliability question is whether a detection system will be able to identify an attack and issue a warning.
Assume that a particular detection system has a .90 probability of detecting a missile attack.
a. What is the probability that single detection system will detect the attack?
b. If two detection systems are installed in the same area and operating independently, what is the
probability that at least one of the systems will detect the attack?
c. If three systems are installed, what is the probability that at least one of the systems will detect
the attack?
d. Would you recommend the multiple detection systems be used? Explain.
Answer by sudhanshu_kmr(1152) (Show Source): You can put this solution on YOUR website!
a) probability that single system will detect = .9 = 9/10
b) probability that none of two system will detect = 1/10 * 1/10 = 1/100
now, probability that at least one of two system will detect the attack
= 1 - 1/100 = 99/100
c)similarly, probability that none of three system will detect attack = 1/1000
probability that at least one of three will detect the attack = 999/1000
RELATED QUESTIONS
Military radar and missile detection system are designed to warn a country of an enemy... (answered by stanbon)
PROBLEM 1
The 2003 Zagat Restaurant Survey provides food, décor, and service... (answered by Fombitz)
PROBABILITY DISTRIBUTIONS (Binomial and Poisson)
ABC company estimates the net profit... (answered by richard1234)
"There is a 99% chance that the system's radar will detect an incoming enemy missile such (answered by ewatrrr)
1) There are 5 radar stations and the probability of a single radar station detecting an... (answered by reviewermath)
there are 3 radar stations and the probability of a single radar station detecting an... (answered by ewatrrr)
A hostile army fires a missile at you. The path of the missile has a function... (answered by nerdybill)
The probability of a radar station detecting an enemy plane is 0.65 and the probability... (answered by stanbon)
The failure rate for a guided missile control system is 8 in 1,000. Suppose that a... (answered by ikleyn)