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?
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?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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A missile protection system consists of n radar sets operating independently, each with a
(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?
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