Given this two-component system and associated independent events: OP(A) + P(B) Which of the following represent the system Reliability? B Event A: component A survives to time t Event B: component B survives to time t OP(A) + P(B) - P(ANB) P(ANB) P(AUB) A

Q: Which pairs of events are independent?     (a) P(A) = 0.67, P(B) = 0.58, P(A∩B) = 0.35.         A…

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Q: Suppose A and B are two events, P(A)=0.38, P(B)=0.42 and P(A and B )=0.26 Find the P(B|A) Round…

A: Answer: From the given data, P(A) = 0.38 P(B) = 0.42 P(A and B) = 0.26

Q: A system consists of four components connected as shown in the following diagram: A Numeric Response…

A: From the given information ,A system consists of 4 components ( A,B,C,D)Given that ,0.1000.050.100…

Q: If P(A) > 0, P(B) > 0, and P(A n B) = 0, then the events A and B are independent. true or false?

A: Solution-: If P(A) >0, P(B)>0 and  P(A∩B)=0, then the events A and B are independent. We find…

Q: Suppose that A and B are two events for which P(A)=0.26, P(B)=0.76, and P(B|A)=0.51. Find each of…

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Q: If A and B are events such that ​P(A)equals=0.60 and P(A∪​B)equals=0.70​, find​ P(B) when ​(a) A…

A: (a)If events A and B are mutually exclusive events, then, P (A or B) = P(A)+ P(B).Or, P(B) = P (A or…

Q: If P(A)=0.2, P(B)=0.1, and P(A∪B)=0.3, then P(A∩B)= Are events A and B independent? Are A and B…

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Q: Problem 6. Let A and B be two events and assume P(A) = 0.35 and P(B) : %3D 0.45. Assume further that…

A: P(A) = 0.35P(B) = 0.45P(A|B) = 0.80

Q: In a General Social Survey of Americans in 1991, two variables, gender and finding life exciting or…

A: Let A is the event that a randomly chosen person is female. Let B is the event a randomly chosen…

Q: If A and B are events with P(A)=0.6, P(A OR B)=0.98, P(A AND B)=0.02, find P(B).

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Q: Suppose that AA and BB are two events for which P(A)=0.32P(A)=0.32, P(B)=0.73P(B)=0.73, and…

A: Given that : P(A)=0.32 P(B)=0.73     and    P(B|A)=0.37 By using the properties of basic and…

Q: 3. A system comprised of three independent components. The probability of failure for each component…

A: Three independent components. Probability for failure for 1st component :  p1=0.1 P2=0.2 P3=0.3

Q: If P(E∩F)=0.035, P(E|F)=0.14, and P(F|E)=0.2, then (a)   P(E)= (b)   P(F)= (c)   P(E∪F)= (d) Are the…

A: Given information: P(E∩F)=0.035, P(E|F)=0.14, and P(F|E)=0.2. (a)  PF|E=PE∩FPE      0.2  =0.035PE…

Q: Show all work clearly.   A powerplant’s daily electricity generation is managed by identical control…

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Q: Consider two events, A and B, such that P(A) = 0.60, P(B) = 0.35, and P(A and B) = 0.25. Are events…

A: Consider the two events A and B. PA=0.60 PB=0.35 PA∩B=0.25

Q: Q2. Two events A and B are said to be dependent if and only if:

A: Here use basic of dependent events

Q: ts, A, B, are independent if and only if at least one of the following holds: i) P(A|B) = P(A) or…

A: (e) is correct. It is given that "two events A,B are independent if and only if at least one of the…

Q: Suppose that we have two events, A and B, with P(A)=0.60,P(B)=0.70, and P(A∩B)=0.40 a. Find P(A∣B)…

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Q: Given P(A and B) = 0.43, P(A) = 0.81, and P(B) = 0.25 are events A and B independent or dependent?…

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Q: If P(E∩F)=0.09, P(E|F)=0.45P, and P(F|E)=0.5, then (a)   P(E)= (b)   P(F)= (c)   P(E∪F)= (d) Are the…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: If two events A and B with P(A) = 0.51, P(B) = 0.28 and P(A or B) = 0.79 then, A and B are

A: GivenP(A)=0.51P(B)=0.28P(A or B)=0.79

Q: How long a basketball player is on the court depends on whether the player begins a match as a…

A: a. Given the member is starting member we have to find the probability that themember is assigned to…

Q: For two events A and B, P(A) = 0.3 and P(B) = 0.4. (a) If A and B are independent, then P(ANB) =…

A: The question is about probability.Given :P ( A ) = 0.3P ( B ) = 0.4

Q: Suppose two events E and F are independent.  Which of the following is true?   (1 answer) A. P(E and…

A: Given that two events E and F are independent.

Q: A and B are independent events such that P(A) = 0.3 and P(B) = 0.6. Find P(A&B).

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Q: For two events A and B, P(A) = 0.4 and P(B) 0.1. (a) If A and B are independent, then P(ANB)%3D…

A: As given by the question There are given that two events and their values: PA=0.4PB=0.1 From the…

Q: For two events A and B, P(A) = 0.6 and P(B) = 0.3. (a) If A and B are independent, then P(A|B) = P(A…

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Q: For two events A and B, P(A)=0.7 and P(B)=0.3. (a) If A and B are independent, then P(A∪B) =…

A: a) Therefore,