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Unformatted text preview: has this probability
to do with the above?)
The probability that the missile is not detected by any of n sets is given as (1 − 0.9)n = 0.1n .
This event is the exact opposite of ”at least one of the sets detects the missile”. Therefore, we can
compute the probability asked for as 1 − 0.1n .
b) How large must n be if we require that the probability of detecting a missile that enters the zone be
0.999 ? 0.999999 ?
0.999 = 1 − 0.13 , 0.999999 = 1 − 0.16
In the ﬁrst case we would need 3 radar sets, in the second 6.
c) If n = 5 and a missile enters the zone, what...
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 Spring '08
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