I. Find P(C U B). J. Are C and B mutually exclusive events? Show why or why not.

Q: are events A and B independent?

A: For the events to be independent, we must have P(A and B) = P(A).P(B)

Q: Consider the following scenario: • Let P(C) = 0.2 • Let P(D) = 0.3 • Let P(C | D) = 0.4   a. Find…

A: Let P(C) = 0.2 Let P(D) = 0.3 Let P(C | D) = 0.4   To find P(C AND D) :   P(C∩ D) = P(C | D)  P(D)=…

Q: Given P(A) = 0.3 and P(B) = 0.4, do the following. (a) If A and B are mutually exclusive events,…

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Q: Given that P(A) = 0.33, P(B) = 0.16, and P(A and B) = 0.0297, are events A and B independent?

A: Solution: From the given information, P (A) = 0.33, P (B) = 0.16 and P (A and B) = 0.0297.

Q: Given that P(A) = 0.42, P(B) = 0.04, and P(A and B) = 0.0168, are events A and B independent?

A: It is given that P(A)=0.42, P(B)=0.04, and P(A and B)=0.0168.

Q: Given P(A) = 0.3 and P(B) = 0.4; if A and B are mutually exclusive events, compute P(A or B)

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Q: Suppose that A and B are independent events with: P(A)= 0.4 P(B)= 0.7 Calculate: P( A U B)

A: The union probability for any two events A and B is defined as P(A ∪ B) = P(A)  + P(B) – P(A ∩ B).

Q: Given P(A) = 0.72, P(B) = 0.81, and P(A or B) = 0.66, are events A and B mutually exclusive?

A: Explained below

Q: Given that P(A) = 0.13, P(B) = 0.31, and P(A and B) = 0.0052, are events A and B independent? Yes,…

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Q: Given P(A) = 0.72, P(B) = 0.81, and P(A or B) = 0.66, are events A and B mutually exclusive? 1) Yes,…

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Q: Given that A and B are mutually exclusive event, find P(A or B) for the following. P(A) =0.41 and…

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Q: Assume A and B are independent events, P(A)= 0.1, P(B)=0.3. Then P (AUB): 0.43 O Option 3 0.4

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Q: Given P(A) = 0.2 and P(B) = 0.8, do the following. (a) If A and B are independent events, compute…

A: Given data P(A) = 0.2 P(B) = 0.8 a) If A and B are independent events Then P(A and B) = P(A) x P(B)…

Q: 1) Let P(A) = 0.2, P(B) = 0.6 and P(A or B) =0.5. Are events A and B mutually exclusive? Why or why…

A: Thank you for posting the question. Since you have asked multiple question, we will solve the first…

Q: Consider, If A and B are independent events, P(A)=0.26 and P(B)=.76, Find: 1. P(A N B) 2. Р (A| B)…

A: Given , Consider, If A and B are independent events, Then , P(A) . P(B)  = P  ( A ∩  B ) Also , P (…

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: Let C and D be events with P(C) = 0.1, P(D) = 0.6, and P(C U D) = 0.5. Are C and D independent?…

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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: Given: P(A) = 0.03 P(B) = 0.42 P(A or B) = 0.11 Objective of the question is to find if A and B are…

Q: Given that P(A) = 0.47, P(B) = 0.07, and P(A and B) = 0.0329, are events A and B independent? O Yes,…

A: No. They are not independent.

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: Given P(A) = 0.35, P(B) = 0.08, and P(A or B) = 0.43, are events A and B mutually exclusive?

A: Given: P(A) = 0.35 P(B) = 0.08 and P(A or B) = 0.43

Q: Given that A and B are two mutually exclusive events, find  P(A or B) for the following. P(A) =…

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Q: (a) Two independent events, A and B, are such that, P(A) = 0.7 and P(B) = 0.4, calculate: (i) P(An…

A: We have to solve given problem:

Q: Given that P(A) = 0.01, P(B) = 0.11, and P(A and B) = 0.0010, are events A and B independent? %3D…

A: Answer

Q: Given that P(A) = 0.06, P(B) = 0.23, and P(A and B) = 0.0258, are events A and B independent? Yes,…

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Q: Given P(A and B) = 0.17, P(A) = 0.21, and P(B) = 0.81 are events A and B independent or dependent?…

A: Two events A and B are called independent if  P(A and B)= P(A)*P(B)

Q: Given that A and B are independent events, show that A and B are also independent events.

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Q: A,B, and C are mutually exclusive events such that P(A) = 0.2,P(B) = 0.6, and P(C) = 0.1. Find P(A…

A: The formula for P(A or B or C) is given below:

Q: Given P(A) = 0.141, P(B) = 0.130, and P(C) = 0.057, and that events A, B, and C are mutually…

A: P(A) = 0.141 P(B) = 0.130 P(C) = 0.057 Events A, B, and C are mutually exclusive i.e.…

Q: Let C and D be events with P(C) = 0.1, P(D) = 0.6, and P(C S D) = 0.5. Are C and D independent?…

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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: Consider, If A and B are independent events, P(A)=0.26 and P(B)=0.76, Find: 1. P(A n B) 2. P(A| B)…

A: Given: P(A)=0.26  P(B)=0.76

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: Given P(A) = 0.13, P(B) = 0.02, and P(A or B) = 0.15, are events A and B mutually exclusive?

A: Given that  P(A)=0.13 P(B)=0.02 P(A or B)=0.15 Definition of Mutually Exclusive- Two events are said…

Q: When looking at the association between the events "owns a car" and "owns a pet," if the events are…

A: We have to check

Q: Given  P(A) = 0.6  and  P(B) = 0.4,  do the following. (a) If A and B are independent events,…

A: If A and B are two independent events, then it is known that P(A and B) = P(A)P(B).

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: Given P(A) = 0.5 and P(B) = 0.3, do the following: (a) If A and B are mutually exclusive events,…

A: A and B are mutually exclusive events if P(A∩B)= 0

Q: Let A and B be events of positive probability. Prove that P(A|B) > P(A) if and only if P(B|A) > P(B)

A: Let , A and B be the two events. We have , P(A)>0 and P(B)>0 i.e. both have positive…

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

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Q: If A and B are mutually exclusive events, then prove that P ( A )<P ( B° )

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Q: Given P(A) = 0.22, P(B) = 0.60, and P(A or B) = 0.82, are events A and B mutually exclusive?

A: Two events A and B are said to be mutually exclusive, if P(A and B) = 0.

Q: Suppose A and B are events such that P(A) = 0.6 P(B)= 0.7 and P(A or B) = 0.8 What’s P(A) with a…

A: Given, Suppose A and B are events such that P(A) = 0.6 P(B)= 0.7 and P(A or B) = 0.8. That is,…

Q: If P(E) = 0.2, P(F) = 0.3, and E and F are independent events, find P(E and F). 1) 0.06 2) 0.08 3)…

A: Given : p ( E ) = 0.2 p ( F) = 0.3

Q: Given P(A) = 0.28, P(B) = 0.98, and P(A or B) = 0.47, are events A and B mutually exclusive? 1) Yes,…

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Q: Given  P(A) = 0.2 and  P(B) = 0.4, do the following. (a) If A and B are independent events, compute…

A: a. Independent Events: The events A and B are said to be independent, if the result of one of the…

Q: Given P(A) = 0.67, P(B) = 0.49, and the fact that events A and B are independent, What is P(A and…

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Q: Let A and B be two events such that P(AC) = 0.70, P(B) = 0.50, and P(A U B) = 0.60. What is P(An B)?

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

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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: