7.) Consider the following two-way table below. Gender Self-Taught Studied in School Private Instruction Total Male 12 38 22 Female 19 24 15 Total a.) Are the events "being a female musician" and "learning music in school" mutually exclusive events? Explain your reasoning. לכ

Q: According to special rule of addition P(A or B) = P(A) + P(B), is true if and only if a.A and B are…

A: We need to find the special rule of addition for which P(A or B) = P(A) + P(B) is true .

Q: Decide whether the events shown in the accompanying Venn diagram are mutually exclusive. Explain…

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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: d or a face card from a deck of cards 3. Selecting a boy or a senior to represent the glee club,…

A: Given :  1. Getting a 4 or a number greater than 3 if one die is tossed  2. Drawing a black card or…

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…

A:

Q: Which statement about events A and B is TRUE? A.O If P(A| B) = P(B) and P(B| A) = P(A), then the…

A: Solve the following

Q: b. In a survey of 200 college students, it was found that; 120 study mathematics, 70 study…

A:

Q: Are the following events independent? (Write the word "independent" or "dependent".) 1. Rolling a…

A: According to our guidelines we can answer only three subparts and rest can be repost.

Q: In 2003, Entergy Corporation had 2,631,752 electricity customers. Of these, 86.0% were in the…

A: Given data Total electricity customers = 2,631,752 of these  Residential category (R) = 86% i.e.,…

Q: Are these events mutually exclusive (E) or mutually inclusive (I)?    Blank 7 7. The next car you…

A: In logic and probability theory, two events are mutually exclusive or disjoint if they cannot both…

Q: Let's define two events A and B where P(A)=0.8 and P(B)=0.4. If P(A ∪ B)=1, what is P(Ac ∪ Bc)? 0.7…

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Q: Suppose events A and B are NOT disjoint, and that P(A) = 0.3 and P(B) = 0.15. What is P(A or B)? 2.…

A: Disjoint events:   Let A and B be any two events, if the events A and B are mutually exclusive or…

Q: for a group of 300 cars the numbers, classified by colour and country of manufacture, are shown in…

A: Solution: The given table of data is

Q: A,B and c are events: P(A)=.35, P(B)=.45, P(C)=.55. Which of these events, if any could be…

A: The probability of event A (say) and the probability of its compliment is equal to 1.

Q: Construct a Venn diagram that portrays four events,A,B,C, and D that have the following properties:…

A: The Venn diagram is constructed using the following properties:Events A, B, and C are mutually…

Q: 4. Given the three events A. B. andC, what is the probability of their intersection AN BOC (ie.…

A: Basic probability

Q: .Suppose you are given the following information on eventsA,B, andD: P(A) = 0:4P(A[D) = 0:6P(AC) =…

A: Given: P(A)=0.4. P(B)=0.2. The objective is to identify whether events A and B are mutually…

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?

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Q: Consider 3 events as illustrated in the following Venn diagram. A1 A2 0.02 0.05 0.03 0.20 0.06 0.09…

A: Solution

Q: Construct a Venn diagram representing the event a.(A&(not B)).b.((A or B)&(not (A&B)))

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

Q: 1. Suppose you have five quizzes in a course, and you classify the level of difficulty of each…

A: Given Information: Number of quizzes in a course = 5  Levels of difficulty = 3 (low , medium , high)

Q: a)Suppose events E and F are mutually exclusive with P(E)= 0.15 and P(F)= 0.75. (i) What is the…

A: We have given that  P(E)= 0.15 and P(F)= 0.75. IF A and B are mutually exclusive.  P ( A U B ) = 0…

Q: 1. Draw the tree diagram. 2. probability of a successful well in field A, B. probability of a…

A: Here define events  S = successful well in field A = successful drill in field A B = successful…

Q: Illustrate the difference between "union" and "intersection" of events using the Venn Diagram below.

A: The union of two sets contains all the elements contained in either set (or both sets). The union is…

Q: Consider two events A and B. Use Venn diagram to show that (AU B) \ A = B\ A

A: For any two events A and B. Using venn diagram,  we need to show that: (AUB)\B = B\A

Q: We will define the following events A: Individual lives in Location 1 B: Individual lives in…

A: Here, A intersect B  implies that the set of individuals who lives in both location 1 and location…

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: 0.13, find P(B). If A and B are events with P(A) = 0.7, P(A OR B) =0.77, and P(A AND B) %3D %3D

A: Given information: Two events A and B. The probability of occurrence of event A, P(A)=0.7. The…

Q: Construct a Venn Diagram showing three overlapping events A, B and C. Shade the region corresponding…

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

Q: 1. Given two events, A, and A.. Prove or disprove that if A, C A, Cn, then P[A,] s P[A,]. [Hint: Use…

A: For the given assumption of A1⊆A⊆Ω, it is to be proved that: P(A1)≤P(A2).

Q: Consider 3 events as illustrated in the following Venn diagram. S A1 A2 0.02 0.05 0.03 0.20 0.06…

A:

Q: The following table shows the results of a survey of authors by a (fictitious) publishing company.…

A: Sets

Q: Suppose that C and D are two events such that P(C)=1/2 and P(C & D)=3/10. What is P(D|C)​?

A:

Q: Nicole packs 3 blouses (A, B, C) and 2 skirts (D, E). c. If event M is wearing blouse C or skirt E,…

A: Given: There are 3 blouses(A,B,C) and 2 skirts(D,E)

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: P(B)×P(C)=0.5×0.3=0.15=P(B∩C) Since we get P(B∩C)=P(B)×P(C), so B and C are independent.

Q: According to a poll, about 19% of adults in a country bet on professional sports. Data indicates…

A: Since you have posted a question with multiple sub-parts, we will answer the first three questions…

Q: 1. Which event is illustrated in the Venn diagram below? A OO P(A or B) A. Dependent Event B. Not…

A: As per our guidelines we can solve first multiple-choice question and rest can be reposted.…

Q: Suppose that, for events A and B, P(A)= 0.2, P(B)= 0.85, and P(AandB)= 0.17. Are A and B…

A: Answer -  Suppose that, for events A and B, P(A)= 0.2, P(B)= 0.85, and P(AandB)= 0.17.…

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

A: It is given that A and B are independent. P(A) = 0.295, P(B) = 0.32

Q: Construct a Venn diagram representing the event a.(A or B or C).b.((not A)&B)

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

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: Thank you

A: Solution:Independent events are those when the happening of one event does not impact the happening…

Q: 13. It is given that 1 P (A, + A2) = 6' P (A,42) = P (Ã) = Show that the events Aj and A2 are…

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Q: events A and B mutually exclusive?

A: Given P(A) = 0.10, P(B) = 0.08, and P(A or B) = 0.18,

Q: Thirty-five percent of the cars in Israel are new. Out of the new cars, 60% are white. Overall, 45%…

A:

Q: An experiment can result in one of five equally likely simple events, E1, E2, . . . , E5. Events A,…

A: