SOLUTION: An intercontinental ballistic missile has 10,000 parts. The probability that each part does not fail during a flight is 0.99995, and parts work independently of one another. If any

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Question 1199326: An intercontinental ballistic missile has 10,000 parts. The probability that each part does not fail during a flight is 0.99995, and parts work independently of one another. If any part does not work, the flight is a failure. What is the probability of successful flight?
Answer by ikleyn(52887) About Me  (Show Source):
You can put this solution on YOUR website!
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An intercontinental ballistic missile has 10,000 parts.
The probability that each part does not fail during a flight is 0.99995,
and parts work independently of one another.
If any part does not work, the flight is a failure.
What is the probability of successful flight?
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As the problem states, a flight is successful if and only if all the parts 
work properly.


The probability for it is the product of probabilities that each and every part
works properly, 
due to the independence of their proper work


    P(a flight is successful) = 0.99995%5E10000 = 0.6065  (rounded).    ANSWER

Solved, with explanations.