Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know P(A) = 0.70 and P(B) = 0.30. If an amount is zero, enter "0". a. What is P(AB)? b. What is P(A/B)? c. A student in statistics argues that the concepts of mutually exclusive events and independent events are really the same, and that if events are mutually exclusive they must be independent. Do you agree with this statement? Use the probability information in this problem to justify your answer. -Select your answer, because P(A/B)-Select your answer ✓ P(A).

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: Find P(A or B), if the events are disjointed. P(A) = 25 P(B) = 25

A: Since it is disjoint event so,   P(A or B) = P(A) + P(B) Which can also be rewritten as: P(A∪B) =…

Q: Given P(A) = 0.052, P(B) = 0.045, and P(C) = 0.149, and that events A, B, and C are mutually…

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Q: Q14. A red and a blue die are thrown. Both dice are fair. The events A and B are defined as follows:…

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A: Given two events A and B, P(A) = 0.2P(B) = 0.3P(A U B) = 0.4P(A ∩ B) is the probability of event A…

Q: Consider two events, A and B, such that P(A) = 0.60, P(B) = 0.35, and P(A and B) = 0.25. Are events…

A: Consider the two events A and B. PA=0.60 PB=0.35 PA∩B=0.25

Q: 4) Let P(A) = A%, P(A U B) = 0.7. Find P(B) if a. the events A and B are mutually exclusive. b. the…

A: Given, P(A) = 20% = 0.2 P(A ∪ B) = 0.7 P(B) = ?

Q: Consider two independent events A and B.Suppose it is known that P(A)=0.27 and P(A or B)=0.5474.…

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Q: OA. 0.12 B. 0.4 C. 0.8 O D.0

A: For two events, A and B, The general formula for probability is as: P(A or B)=P(A)+P(B)-P(A∩B). If…

Q: Given P(A) = 0.150, P(B) = 0.172, and P(C) = 0.185, and that events A, B, and C are mutually…

A: here given, P(A)=0.150, P(B)=0.172 P(C)=0.185   A,B and C are mutually exclusive event. so, P(A and…

Q: If events A and B are independent and P(A)= 0.32, P(B)= 0.28 Calculate P(A and B)? Round to…

A: Answer: From the given data, P(A) = 0.32  and  P(B) = 0.28 If events A and B are independent events

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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: ven P(A) = and P(B) = ³ Find P(A or B), if A and B are mutually clusive events.

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Q: Let A and B are two events, not mutually exclusive. Suppose that P(A) =0.40, P(B)=0.32 and P(A or…

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Q: Suppose that A, B are two independent events, with P(A) = .1 and P(B) = .2. Find P(A|B).

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

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Q: Given P(A) = 0.104, P(B) = 0.049, and P(C) = 0.058, and that events A, B, and C are mutually…

A: Given P(A) = 0.104, P(B) = 0.049, and P(C) = 0.058, and that events A, B, and C are mutually…

Q: The events A and B are mutually exclusive. If P(A) = .33 and P ( B) = .26, what is the P( A or B)

A: Given that  P(A) = .33 and P ( B) = .26

Q: If P(A) = 0.30, P(B) = 0.20, P(A and B) = 0.09, what can be said about events A and B? Events A & B…

A: It is given that, P(A) = 0.30, P(B) = 0.20 and P(A and B) = 0.09.

Q: If E and F are two events. P(E) = 0.28, P(F) = 0.36, P(F|E) = 0.10 Find P(E and F) Round to three…

A: Answer: From the given data, P(E) = 0.28 P(F) = 0.36 P(F | E) = 0.10

Q: If events A and B are independent and P(A)= 0.25, P(B)= 0.30 Calculate P(A and B)? Round to two…

A: Events A and B are independent.

Q: If A and B are independent events with P(A)=0.9 and P(B)=0.8, find P(A AND B).

A: It is given that , A and B are the two independent events & their probabilities is P(A) = 0.9…

Q: The events A and B are mutually exclusive. If P(A) = .31 and P ( B) = .42, what is the P( A or B)

A: It is given that  P(A) = 0.31 P(B) = 0.42

Q: P(A) = 0.6 P(B) = 0.5 P(A|B) = 0.42 P(A) = 0.3 P(B) = 0.5 P(A|B) = 0.3 P(A) = 0.45 P(B) = 0.75 P(A…

A: Determine if events A and B are independent for given problems

Q: The events A and B are mutually exclusive. If P(A) = 0.3 and P(B) = 0.6, what is P(A or B)? O A. 0.9…

A: Given Data: P(A)=0.3 P(B)=0.6   A and B are mutually exclusive events

Q: Suppose that E and F are two events and that P(E)=0.8 and P(F|E)=0.5. What is P(E and F)​?

A: Given data,  P(E)=0.8  P(F|E)=0.5 P(E and F)​=?

Q: Suppose that AA and BB are two independent events for which P(A)=0.18 and P(B)=0.8 . Find each of…

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

Q: Given P(A) = 0.076, P(B) = 0.184, and P(C) = 0.159, and that events A, B, and C are mutually…

A: Solution: Mutually exclusive events: Two events A, B and C are said to be mutually exclusive when…

Q: Decide whether the following pairs of events are dependent or independent. A red and a green die are…

A: The given statement is "A red and a green die are rolled. A is the event that the red die comes up…

Q: The events A and B are mutually exclusive. If ​P(A)=0.6 and ​P(B)=0.2​, what is​ P(A or​ B)?

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Q: Given P(A) = 0.63, P(B) = 0.27, and the fact that events A and B are independent, What is P(A and…

A: Formula : P(A and B) = P(A) * P(B)