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Solved: Defense System Suppose that a satellite defense

Chapter 10, Problem 28AYU

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QUESTION:

Problem 28AYU

Defense System Suppose that a satellite defense system is established in which four satellites acting independently have a 0.9 probability of detecting an incoming ballistic missile. What is the probability that at least one of the four satellites detects an incoming ballistic missile? Would you feel safe with such a system?

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QUESTION:

Problem 28AYU

Defense System Suppose that a satellite defense system is established in which four satellites acting independently have a 0.9 probability of detecting an incoming ballistic missile. What is the probability that at least one of the four satellites detects an incoming ballistic missile? Would you feel safe with such a system?

ANSWER:

Answer :

Step 1 :

P(detecting an incoming ballistic missile) = 0.9

P(not detecting the missile ) =  1 - P(

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