What is probability that exactly four sets detect missile

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A missile protection system consists of n radar sets operating independently, each with a probability of .9 of detecting a missile entering a zone that is covered by all of the units.

a If n = 5 and a missile enters the zone, what is the probability that exactly four sets detect the missile? At least one set?

b How large must n be if we require that the probability of detecting a missile that enters the zone be .999?

Reference no: EM131027910

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