A ship is fitted with three engines `E_(1),E_(2),and E_(3)` the engines function independently of each othe with respectively probability `1//2,1//4, and 1//4.` 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 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 1/6 . 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 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 . 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 function. Which of the following is/are true?

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 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 . 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 function. Which of the following is/are true? (a) P(X_1^c "|"X)=3/(16) (b) P (exactly two engines of the ship are functioning "|"X ) =7/8 (c) P(X"|"X_2)=5/6 (d) P(X"|"X_1)=7/(16)

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 . 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 function. Which of the following is/are true? (a) P(X_1^c "|"X)=3/(16) (b) P (exactly two engines of the ship are functioning "|"X ) =7/8 (c) P(X"|"X_2)=5/6 (d) P(X"|"X_1)=7/(16)

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 . 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 function. Which of the following is/are true? (a) P(X_1^c "|"X)=3/(16) (b) P (exactly two engines of the ship are functioning "|"X ) =7/8 (c) P(X"|"X_2)=5/6 (d) P(X"|"X_1)=7/(16)

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 . 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 function. Which of the following is/are true? (a) P(X_1^c "|"X)=3/(16) (b) P (exactly two engines of the ship are functioning "|"X ) =7/8 (c) P(X"|"X_2)=5/6 (d) P(X"|"X_1)=7/(16)

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. 1/4and 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 ship is fitted with three engine es E_1,E_2a n dE_3dot the engines function independently of each other with respective probabilities 1/2, 1/4, and 1/4. 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_2a n dX_3 denote, respectively, the events that the engines E_1, E_2a n dE_3 are function. Which of the following is/are true? a. P(X1C"|"x)=3/(16) b. P (exactly two engines of the ship are functioning |X ) =7/8 c. P(X"|"X_2)=5/6 d. P(X"|"X_1)=7/(16)