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in Probability by (122k points)
A ship is fitted with three engines `E_1`, `E_2`, and `E_3`,. The engines function independently of each other with respective probabilities `1/2`. `1/4`and `1/4` ,and For the ship to be operational at least two of its engines must function. Let X denote the event that the ship is operational and let `X_1`, `X_2`, and `X_3` denote respectively the events that the engines `E_1`, `E_2` and `E_3`,are functioning. Which of the following is (are) true?
A. `P[X_(1)^(c )//X]=(3)e/(16)`
B. `P["exactly two engines of the ship are functioning"//X]=(7)/(8)`
C. `P[X //X_2]=(5)/(16)`
D. `P[X //X_1]=(7)/(16)`

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1 Answer

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by (121k points)
Correct Answer - B::D

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