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 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) 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 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 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 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)