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 P(B|A)=0.37P(B|A)=0.37 Find each of the following: A. P(A∩B)=P(A∩B)=  B. P(A∪B)=P(A∪B)=  C. P(A|B)=P(A|B)=  D. P(A′)=P(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: A and B are independent events. If Pr(A∩B)=0.18 and Pr[A]=0.3 what is Pr[B]?

A: Independent events : The event A and event B are independent if ,  P( A∩B ) = P( A )×P( B )

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: Assume that A and B are events. If​ P(A∪​B)=0.7​, ​P(A)=0.2​, and ​P(B)=0.65​, find ​P(A∩​B).

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Q: If ​P(A∪​B)=0.8​, ​P(A)=0.2​, and ​P(A∩​B)=0.15​, find​ P(B). Assume that A and B are events.

A: Given information- We have given that A and B are events. P(A∪​B)=0.8​, ​P(A)=0.2​, P(A∩​B)=0.15. We…

Q: Suppose that A, B are two events such that P(A) > 0 and P(B) > 0.  If A and B are not disjoint, then…

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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 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: assume that Pr[A∪B]=0.6 and Pr[A]=0.2 (1) What is Pr[B] if A and B are independent events?

A: Since A and B are independent event, so pr(A∩B)= pr(A)pr(B).

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: let a and b be two events with P(A) = 3/8, P(B) = 3/8, and P(A∩B) = 1/8. the value of P(A U B) is

A: From the provided information, P (A) = 3/8 P (B) = 3/8 P (A ∩ B) = 1/8

Q: Assume that A and B are events. If ​P(A∪​B)=0.6​, ​P(A)=0.5​, and ​P(B)=0.25​, find ​P(A∩​B).

A: Given information- We have given that A and B are events.  P(A)=0.5, P(B)=0.25​, P(A∪​B)=0.6​ We…

Q: For two events A and B, P (A)=0.4, P(B)=0.2, and P(A)(B)=0.6  Find P (AnB).  ThE N IS SUPPOSED TO BE…

A: Given :  A and B are the two events where ,  P (A)=0.4, P(B)=0.2, and P(A∪B)=0.6  If A and B are two…

Q: Suppose that A and B are two events for which P(A) = 0.29, P(B) = 0.74, and P(B|A) = 0.42 Find each…

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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: Let A  and B be two events such that P (A) = 0.46 and P (B) = 0.07 (a) Determine P (A ∪ B), given…

A: Given: A and B be two events such that P (A) = 0.46   P (B) = 0.07

Q: For this problem, assume that Pr[A∪B]=0.55Pr[A∪B]=0.55 and Pr[A]=0.25Pr[A]=0.25. (1) What is…

A: P(A or B) =0.55 and P(A) =0.25. Events A and B are 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: 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: Let A and B be events such that P (A) = 4/10 and that P (A∪B) = 7/10  Find the probability of B…

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Q: A and B are independent events. If Pr(A∩B)=0.4 and Pr[A]=0.5 what is Pr[B]Pr[B]?

A: It is given that, P(A)=0.5, P(A and B)=0.4.

Q: Let A and B be events such that P(A) = 0.6, P(B) = 0.5and P(A∪ B) = 0.8.Find P(A B)). Are A and B…

A: We have given that events  P(A) =0.6 P(B) =0.5 P(A∪ B) = 0.8 Note: According to Bartleby expert…

Q: For two events A and B, P(A)=0.24, P(B)=0.57, and P(A∩B)=0.32. a.Find P(A|B) b. Find P(B|A) c.…

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Q: AA and BB are independent events. If Pr(A∩B)=0.28 and Pr[A]=0.4, what is Pr[B]?

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