1)A missile protection system consists of n radar sets operating independently, each with probability 0.9 of detecting an aircraft entering a specified zone. (All radar sets cover the same zone.) If an airplane enters the zone, find the probability that it will be detected if a) n = 2 b) n = 4 c) How large must n be if it is desired to have probability 0.99 of detectingan aircraft entering the zone?

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1)A missile protection system consists of n
radar
sets operating independently, each with
probability 0.9 of detecting an aircraft
entering a specified zone.
(All radar sets cover the same zone.)
If an airplane enters the zone, find the
probability that it will be detected if
a) n = 2
b) n = 4
c) How large must n be if it
is desired to have probability 0.99 of
detectingan aircraft entering the zone?
Transcribed Image Text:1)A missile protection system consists of n radar sets operating independently, each with probability 0.9 of detecting an aircraft entering a specified zone. (All radar sets cover the same zone.) If an airplane enters the zone, find the probability that it will be detected if a) n = 2 b) n = 4 c) How large must n be if it is desired to have probability 0.99 of detectingan aircraft entering the zone?
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