If A and B are independent events, P(A) = 0.15, and P(B) = 0.55, find the probabilities below. (Enter your answers to four decimal places.) (a)    P(A ∩ B) (b)    P(A ∪ B) (c)    P(A | B) (d)    P(Ac ∪ Bc)

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: P(A)=0.56,P(B)=0.54,P(B∪A)=0.91P(A)=0.56,P(B)=0.54,P(B∪A)=0.91 Find the following probabilities.…

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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: The Venn diagram below shows the 11 students in Ms. Bailey's class. The diagram shows the…

A: Total number of students : n=11 A : Student is in the Music club B : Student is in the Basketball…

Q: (a) Find the probabilities of the events below. Write each answer as a single frection. P(4) - P(B)…

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Q: Given P(A and B) = 0.42, P(A) = 0.92, and P(B) = 0.05 are events A and B independent or dependent?

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Q: A and B are two events such that P(A) = 0.4, P(B) = 0.8, and P(A and B) = 0.2.  Find P(A|B). Select…

A: P(A) = 0.4, P(B) = 0.8, and P(A and B) = 0.2.

Q: We are asked to find the probability of event A occurring given that event B occurs. This is…

A: By conditional probability theorem, the probability of event A occurs, provided that the event B has…

Q: Using the diagram below, find these probabilities: 0.54 0.46 a. x Democrat b.y Republican 0.22 0.12…

A: D=democratR=republicanFrom the given tree diagram we know…

Q: P(A)=0.64,P(B)=0.45,P(B∪A)=0.92 Find the following probabilities. P(A∩B) =  P(B|A¯) =  P(A¯|B) =

A: We have given that,  P(A)=0.64, P(B)=0.45, P(B∪A) or P(AUB) =0.92 Then,  We will find the following…

Q: (a) Find the probabilities of the events below. Write each answer as a single fraction. P(A) = P (B)…

A: From the given Venn diagram Total students = 8

Q: Use the diagram to find the probabilities below. (a)    P(A) (b)    P(E | A) (c)    P(A E)

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

Q: In each of Exercises, decide whether or not the two events in question are independent or whether it…

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Q: (iii)It P(AB) = 0, then the two events A and B are said to be (a) dependent (b) independent (c)…

A: ⇒ P(A∩B) can be written as P(AB).

Q: C and D are events with P(C) = 0.4 and P(D) = 0.5 and P(C|D) = 0.6.For each part, show how you…

A: From the provided information, P (C) = 0.4 and P (D) = 0.5 And P (C|D) = 0.6

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: (a) Find the probabilities of the events below. Write each answer as a single fraction. P(A or B) =…

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Q: The Venn dia- The diagram Note that "La One student f Let A denote Let B denote Answer each

A: Solution

Q: In example,  A and B are two independent events with P (A) = 0.50 and P (B) = 0.20. Count it for  P…

A: P(A) and P(B) = P(A x B) Thus P(A×B)=0.50×0.20=0.1

Q: U and V are mutually exclusive events. P(U)=0.55 ; P(V)=0.32 Find P(U AND V) =

A: Two events are said to be mutually exclusive events, if two events can not occur simultaneously.

Q: U and V are mutually exclusive events. P(U) = 0.27 P(V) = 0.38   I need help solving these problems…

A: U and V are mutually exclusive events. P(U) = 0.27P(V) = 0.38

Q: Use the Test for Independence to determine if events A and B are independent. P(A) = 0.7, P(B) =…

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Q: E and F are mutually exclusive events. P (E) = 0.91; P(F) =0.42 . Find P (E| F )

A: Given, p(E) = 0.91 , p(F) = 0.42And E and F are mutually exclusive events, it means

Q: If P (A) = 0.6, P (B) =0.5 and P (A U B) = 0.9, find the following probabilities: (a) P (ANB) (b) P…

A: P(A) = 0.6P(B) =0.5 P(A U B)=0.9