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A missile protection system consists of n radar sets
Chapter 3, Problem 48E(choose chapter or problem)
Problem 48E
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?
Questions & Answers
QUESTION:
Problem 48E
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?
ANSWER:
Solution:
Step 1 of 3:
A missile protection system of n radar sets operating independently, each with a probability of 0.9 of detecting a missile entering a zone that is covered by all of the units.
We have to find
- The probability that exactly four sets detect the missile, and probability that at least one set detect the missile (if n=5 and a missile enters the zone).
- The value of n if we we require the probability of detecting a missile that enters the zone be 0.999.