We will define the following events A: Individual lives in Location 1 B: Individual lives in Location 2 C: Individual lives in Location 3 D: Individual agrees E: Individual disagrees

Q: Given that P(A) = 0.17, P(B) = 0.08, and P(A and B) = 0.0136, are events A and B independent?

A: To find that both are independent

Q: Consider independent events A and B. If P(A) = 0.2 and P(B) = 0.4, determine P(A N B). 0.60 0.80…

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Q: Given the following information about events A, B, and C, determine which pairs of events, if any,…

A: Accordiong to the provided infoimation, P(A)=0.22 P(A|B)=0.22 P(B)=0.42 P(B|C)=0 P(C)=0.03…

Q: Given P(A and B) = 0.16, P(A) = 0.20, and P(B) = 0.80 are events A and B independent or dependent?

A: GivenP(A)=0.20P(B)=0.80P(A∩B)=0.16

Q: If A,B,C are mutually exclusive events with PĀ) = 0.45, P(B) = 0.36, then P(AN B) = a. 0.91 O b.…

A: PA=0.45 PB=0.36

Q: Given the following information about events A, B, and C, determine which pairs of events, if any,…

A: given,P(A)=0.58,  P(A|B)=0 P(B)=0.32,  P(C|B)=0.63 P(C)=0.63,     P(A|C)=0.58

Q: Given P(A) = 0.47, P(B) = 0.41, and P(A or B) = 0.88, are events A and B mutually exclusive?…

A: Events A and B are mutually  exclusive when  Hence, Event A and B are mutually exclusive.

Q: If A and B are disjoint events, then which statement below is true? OP(AIB)-0 OP(A and B) = 0 OP(A…

A: Given that, A and B are two disjoint events.

Q: Given P(A) = 0.67, P(B) = 0.70, and the fact that events A and B are independent, What is P(A and…

A: GivenP(A)=0.67P(B)=0.70The events A and B are independent

Q: Are the two events in each scenario mutually exclusive or not? Explain. b) Drawing a heart or…

A: If the occurrences of both events cannot occur same time then the events can be called as mutually…

Q: Given P(A) = 0.31, P(B) = 0.98, P(C) = 0.97 and that events A, B, and C are independent, what is…

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Q: Given the following information about events A, B, and C, determine which pairs of events, if any,…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: . If two events A and B are mutually exclusive, what does the special rule of addition state? A) P(A…

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

Q: Given the following information about events A, B, and C, determine which pairs of events are…

A:

Q: Given P(A) = 0.47, P(B) = 0.41, and P(A or B) = 0.88, are events A and B mutually exclusive?

A: Mutually exclusive events: The two events A and B are mutually exclusive events, then probability P…

Q: Given P(A) = 0.092, P(B) = 0.011, and P(C) = 0.085, and that events A, B, and C are mutually…

A: P(A) = 0.092, P(B) = 0.011, and P(C) = 0.085 Events A, B, and C are mutually exclusive

Q: Suppose that A,B, and C are three events that cannot all occur simultaneously. Does this condition…

A: Venn diagramVenn diagram is a diagrammatic representation of sets which shows the relationship…

Q: Given P(A) = 0.51, P(B) = 0.79, and P(A or B) = 0.66, are events A and B mutually exclusive?

A:

Q: Given the following information, determine whether events B and C are independent, mutually…

A: Concept: Two events are said to be mutually exclusive or disjoint if both the events cannot occur at…

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

A: If two events E and F are disjoint then P(E and F)=0

Q: Given P(A) = 0.03, P(B) = 0.42, and P(A or B) = 0.11, are events A and B mutually exclusive?

A:

Q: Given the following information about events A, B, and C, determine which pairs of events, if any,…

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Q: If A and B are ______ events, then the addition rule becomes P(A∪B)=P(A)+P(B)P(A∪B)=P(A)+P(B) .

A: Introduction: Suppose A and B are two events of interest in a study. Let P (A), P (B), and P (A ∩ B)…

Q: Given P(A) = 0.92, P(B) = 0.33, and P(A or B) = 0.40, are events A and B mutually exclusive?

A: Given Data: P(A) = 0.92 P(B) = 0.33 P(A or B) = 0.40

Q: Given the following information about events A, B, and C, determine which pairs of events are…

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Q: Given P(A)=0.31, P(B)=0.49 and P(A or B)=0.78, are events A and B mutually exclusive

A: According to the given information, we have P(A) = 0.31 P(B) = 0.49 P(A or B) = 0.78

Q: Given three events A, B, and C such thatP(A ∩ B ∩ C) Z 0 and P(C|A ∩ B) = P(C|B), show thatP(A|B ∩…

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Q: Given the following information about events A B, and C: ​…

A: From the provided information,

Q: E. If P(A)=0.8, P(B)=0.5, and P(AUB)=0.9, are A and B independent events? Why or why not

A: P(A) = 0.8 P(B) = 0.5 P(A U B) = 0.9   P(A ∩B) = P(A) + P(B) - P(A ∪B) P(A ∩B) =0.8 + 0.5 - 0.9P(A…

Q: 3. a. Explain in your own words what it means for two events to be mutually exclusive. b. If events…

A: We have given that  P(A ) =0.3   ,  P(B) = 0.4  AND two event are mutually exclusive.

Q: If A and B are independent events, P(A)=0.18, and P(B)=0.79, what is P(B|A)

A: Given that; P(A) = 0.18 P(B) = 0.79 If A and B are independent events,

Q: Given the following Venn diagram, create a dependent situation and label each of events as they…

A: Euler Venn Diagram or commonly known as Venn Diagram, is a diagrammatic representation to represent…

Q: Given P(A) = 0.82, P(B) = 0.52, P(C) = 0.79 and that events A, B, and C are independent, what is…

A: Obtain the probability that the three events A, B and C are independent events. The probability that…

Q: Suppose A and B are events with P(A) = 0.3 and P(B) = 0.7. a. Do we have enough information to…

A: Given  P(A)=0.30, P(B)=0.70

Q: Given P(A) = 0.14, P(B) = 0.55, and P(A or B) = 0.69, are events A and B mutually exclusive?

A:

Q: Given P(A) = 0.78, P(B) = 0.49, P(C) = 0.45 and that events A, B, and C are independent, what is…

A: Given, P(A) = 0.78 P(B) = 0.49 P(C) = 0.45  that events A, B, and C are independent.       To find,…

Q: According to a government statistics department, 19.6% of women in a country aged 25 years or older…

A: Here, we are given that: P( bachelor degree ) = 0.196 P( never married ) = 0.174 P( bachelor's…

Q: Given P(A) = 0.27, P(B) = 0.19, and P(A or B) = 0.46, are events A and B mutually exclusive

A: Given,  P(A) = 0.27 P(B) = 0.19 P(A or B) = 0.46

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: Determine whether each of the following statements is true or false, and explain why. If two events…

A: Given-  If two events are mutually exclusive, then they are independent. To determine- whether the…

Q: Given the following information about events B and C: P(B)=70% P(B AND C)=0 P(C)=45% Are B and C

A: If the two events are mutually exclusive then their intersection part is zero.  That is , the two…

Q: 11. Given P(A) = 0.52, P(B) = 0.87, P(C) = 0.06 and that events A, B, and C are independent, what is…

A: It is mentioned that the events A, B and C are independent. The probabilities are provided as; P(A)…

Q: Given P(A) = 0.21, P(B) = 0.11, and P(A or B) = 0.23, are events A and B mutually exclusive?

A:

Q: Given P(A)=0.37, P(B)=0.38, and P(A or B)=0.27, are events A and B mutually exclusive?

A: If A and B are mutually exclusive then P(A or B) = P(A) + P(B) Here, P(A or B) = 0.27 and P(A) +…

Q: Given P(A) = 0.56 , P(B) = 0.09 , P(C) = 0.56 and that events A,B, and Care independent, what is…

A: Given that P(A) = 0.56 , P(B) = 0.09 , P(C) = 0.56

Q: Given the following information, determine whether events B and C' are independent, mutually…

A: Mutually exclusive events: Two events A and B are said to be mutually exclusive when there are no…

Q: Given P(A and B) = 0.12, P(A) = 0.58, and P(B) = 0.44 are events A and B independent or dependent?

A: Two events A and B are said to be independent if P(A and B)=P(A)×P(B)

Q: Consider three events A, B, and C. Given- P(A) = 0.3, P(B) = 0.6, P(C) = 0.2, P(A ∩ C) = 0, P(B|C) =…

A: It is given that P(A∩C)=0 and asked to find the value of P(A∩B∩C). P(A∩C)=0 means there is no common…

Q: Given P(A) = 0.51, P(B) = 0.79, and P(A or B) = 0.66, are events A and B mutually exclusive?

A: