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
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