## Question

# A missile can be accidentally launched if two relays A and B both have failed. The probabilities of A and B failing are known to

A missile can be accidentally launched if two relays A and B both have failed. The probabilities of A and B failing are known to be 0.01 and 0.03, respectively. It is also known that B is more likely to fail (probability 0.06) if A has failed.

(a) What is the probability of an accidental missile launch?

(b) What is the probability that A will fail if B has failed?

(c) Are the events "A fails" and "B fails" statistically independent?

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### Elementary Statistics

**Authors:** Neil A. Weiss

8th Edition

321691237, 978-0321691231

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