The probability that a military system is in an in-control, Ask an Expert

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The probability that a military system is in an in-control condition is 0.96 and that it is in an out-of- control condition is 0.04. If it is in-control, the conditional probability that it will complete an assigned mission is 0.90, while if it is out-of-control, the conditional probability that it will complete the mission is only 0.40. 2

(a) What is the probability that this system will complete an assigned mission?

(b) Given the information that the system completed its assigned mission, what is the probability that it was actually in-control?

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Category:- Statistics and Probability
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