If two events are mutually exclusive, then: (A the events can occur at the same time B They also could be complements. They cannot be complements. D they are independent

Q: If A and B are mutually exclusive events, then P(A U B) equals А.Р(А)+Р(B)-Р(АВ) В.Р(А)ХP(В)…

A: Event A and event B are two mutually exclusive events. The general formula of the probability of A…

Q: Find P(A and B) if P(A) is 0.3 and the P(B) is 0.4, and events A and B are independent.

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Q: Let A and B be two events such that P(A) = 1/7, P(AUB) =1/2, and P(AB) =1/2  Determine P(B)

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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: 5. Suppose that A, B, and C are mutually independent events and that P (A) = 0.5, P (B) = 0.8, and P…

A: Solution: Given data A, B, and C are mutually independent events. P (A) = 0.5, P (B) = 0.8, and P…

Q: In parts (a) and (b), identify whether the events are Mutually Exclusive, Independent, or Neither…

A: Independent events: Two events A and B are said to be independent, if probability of occurrence of…

Q: Suppose that the events A, B, and C are independents, where P(A)= 1/2, P(B)=1/3, and P(C)= 1/4. What…

A: Given that A, B, and C are independents. So,…

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: If two events are disjoint, can they be independent? If yes, give an example; if no, prove that it…

A: Independent events: Two or more events are said to be independent if the occurrence of one does not…

Q: If A and B are mutually exclusive events with P(A) = 0.295, P(B) = 0.32, then P(A | B) =

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Q: If A, B, and C are any three events then O a PAUBUC)= P(A) + (B) + P(C)-PANBNC) O b.…

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Q: If A and B are independent events, which of the statements below are true? OP(AIB)-0 O P(AIB)-…

A: From the given information we find the probability.

Q: If A and B are mutually exclusive events then, O A. P(A&B) = 0, O B. P(A) = 0, O C. P(B) =0, D.…

A: If two events, A and B are mutually exclusive then,  P(A U B) = P(A) + P(B)-P(A n B) Since A and B…

Q: - For any two events A and B; P ( ACO B) =P (B)-P (AOB)

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Q: If P(A) = 0.4, P(B) = 0.2, and P(AU B) = 0.6, then P(AN B) = (a) Are events A and B independent?…

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Q: Let A and B be events such that P(A)=1/4, P(A or B)=1/3, and P(A and B)=1/5. DetermineP(B)

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Q: In parts (a) and (b), identify whether the events are Mutually Exclusive, Independent, or Neithe…

A: (a) If the probability of occurrence of one event is not affected by the probability of occurrence…

Q: If A and B are independent events, prove that the following pairs of events are independent: Ac and…

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Q: If P(A) = 0.2, P(B) = 0.3, and P(A U B) = 0.48, then P(An B) =|. (a) Are events A and B independent?…

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Q: (5) If two events A and B are mutually exclusive, then the joint events, AnC and BOC are also…

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Q: In parts (a) and (b), identify whether the events are Mutually Exclusive, Independent, or Neither…

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Q: If P(A|B) = 0.5 and P(B) = 0.5, then the events A and B are independent. ture or fals

A: Given :  P(A|B) = 0.5 P (B) = 0.5 A and B are independent events. Then,

Q: Which of the following statements is false? O Two complementary events cannot occur at the same…

A: complementary events are those events  where only two possible outcomes are there.   Independent…

Q: If A and B are events such that ​P(A)=0.2 and ​P(A∪​B)=0.4​, find​ P(B) when ​(a) A and B are…

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Q: Let A and B be two events such that P(A)=1/7, P(AUB)=1/2, and P(AB)=1/12. Determine P(B)

A: From the provided information, P (A) =1/7 P (A Ս B) = 1/2 And P (AB) = 1/12

Q: If A and B are two mutually exclusive events and PLA) = P(B), then P(A)= %3D o 3

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Q: If PIA) = 0.45, P(B) = 0.30 and PIA and B) - 0, then events A and B are: independent and mutually…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: If A and B are two independent events with P(A) = 0.15 and P(B) = 0.4, then P(AUB) is

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Q: 1. Let A and B be two events such that the occurrence of A implies the occurrence of B, but not vice…

A: Since you have posted multiple questions, we are answering the first question. Here, A and B be two…

Q: If A and B are any two events, then P(A U B) = P(A) + P(B) – P(A N B) anner

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Q: Theorem 3.10. If the events A and B are such that P(A) #0, P(B) ±0 and A is independent of B, then B…

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Q: CONSIDER two events A and B PROVE that if Bc A then P(B) < P(A)

A: We have to answer question based on set

Q: 2. If A and B are mutually exclusive events and P(A) = 0.3 and P(B) = 0.5, find a.) P(A U B) b.) P…

A: Given  A and B are mutually exclusive events and P(A)=0.3 and P(B)=0.5, Find a).P(AUB)b).P(A)'…

Q: In parts (a) and (b), identify whether the events are Mutually Exclusive, Independent, or Neither…

A: Independent Events: The two events A and B are said to be independent, it means that the probability…

Q: : If A, B, C are mutually independent events then A UB and C are also independent.

A: Answer: For the given data,

Q: Theorem 3-18. If A and B are independent events, then (i) A and B (ii) A and B (iii) A and B, are…

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Q: In parts Ce) and Cb), idenfy whether the events are Musul Exclusive, Independent, or Neither (events…

A: Let us consider two events A and BIndependent events : Two events A and B are said to be independent…

Q: Prove that if two events, A and B, are mutually exclusive, then P(A | A U B ) = P(A) / ( P(A) + P(B)…

A: If two events are mutually exclusive, then the two events are disjoint event.In other words, if A…

Q: 3. If A and B are mutually exclusive events with P(A) = .3 and P(B) = 0.5, then P(A N B) = %3D .30…

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Q: If two events A and B are not mutually exclusive, then P(A U B) can be computed by the formula P(A U…

A: Given that A and B are not mutually exclusive. So it will roughly look like:

Q: If A and B are two independent events where P(A) = 0.2 and P(B) = 0.3 , then P(AN B) = %3D O 0.2 0.5…

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Q: Suppose A, B, and C are events so that P ( A ) = 0.2 , P ( B ) = 0.5 , P ( C ) = 0.3 , P ( A ∩ B )…

A: Suppose A, B, and C are events, So that P ( A ) = 0.2 , P ( B ) = 0.5 , P ( C ) = 0.3 , P ( A ∩ B )…

Q: If two events are mutually exclusive, then: A They cannot be complements. B) the events can occur at…

A: Mutually exclusive events: If the occurrence of one precludes the occurrence pf others. For example,…

Q: If two events are mutually exclusive, then the following is true: a. They cannot be mutually…

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Q: J A and B are independent events, prove that the events A and B,A and B; and A and B are also…

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Q: If B1, B2, another event associated with (or caused by) B;, B, be a set of exhaustive and mutually…

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Q: Which of the following statements is false?    Two independent events cannot occur at the same…

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Q: In the city of Savannah, Georgia, 22% of young couples take wedding pictures along the Riverwalk…

A: Given information:Denote the event of young couples take wedding pictures along with the river walk…

Q: IJ A and B are independent events, prove that the events A and B, A and B; and A and B are also…

A: Answer: For the given data,

Q: 1. If P(A|B) = 0.5 and P(B) = 0.5, then the events A and B are independent. * %3D true false

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