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? Explain.

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: Suppose A and B are events with P(A) = 0.3, P(B) = 0.85, and P(B|A) = 0.6. Find the value of P(A or…

A: given data  P(A) = 0.3 P(B) = 0.85 P(B|A) = 0.6 P(A or B) = ?

Q: Suppose P(E) = 0.3, P(F) = 0.5, and P(E or F) = 0.7. Are the events E and F are mutually exclusive?…

A: It is given that P(E) = 0.3 and P(F) = 0.5.P(E) + P(F) = 0.3+0.5 = 0.8.

Q: 21 Given p(A) = 0.5 and p(B) = 0.2 and A and B are mutually exclusive events. Are these events…

A: We will answer only one question at a time. Please resubmit the other questions specifying which one…

Q: Q14.What is the probability that the student received grade A or grade B? Q15.What is the…

A: Given Frequency is  A = 11 B = 2 C = 2 D = 0 F = 1

Q: Consider two independent events A and B such that P(A) = 0.5 and P(B) = 0.6, what is P(AUB)? %3D

A: Given that A and B are independent events. Thus, P(A n B) = P(A)P(B) = 0.5*0.6 = 0.3

Q: P(A) =0.3 and P(A or B) =0.7, then what is P(B)  if events A and B are independent events?

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Q: Suppose that A and B are events such that P(A) = 0.84,P(B) = 0.46, and P(A&B) = 0.38. Determine…

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Q: Suppose that A and B are events such that P(A) = 1/4, P(B) = 1/3, and P(A or B) = 1/2. a. Are events…

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Q: Let A and B be events with P(A) = 7/15, P(B) = 10/15, and P((A U BỊ ) = 4/15 ?What is P(A N B)

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Q: Let A and B be events with P(A) = 0.7, P(B) = 0.9, and P (A and B) = 0.6. Compute P (A or B) Are A…

A: a.

Q: assume that Pr[A∪B]=0.6 and Pr[A]=0.2 (1) What is Pr[B] if A and B are independent events?

A: Since A and B are independent event, so pr(A∩B)= pr(A)pr(B).

Q: Suppose A and B are two independent events with P(a)=0.5 and P(b)=0.4 what is the P(A U B)?

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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: If A and B are independent events, P(A)=0.22, and P(B)=0.71, what is P(B|A)?

A: Given: A and B are independent P(A)=0.22 P(B)=0.71   A and B are independent means that occurring of…

Q: Consider events and with 'P(A) = 0.2 P(B) = 0.5 and P(AN B) = 0.1. Calculate the conditional A B…

A: We want to find value of p(A/B)

Q: 13. Are A, B, and C mutually-exclusive events if P(A) = 0.33, P(B) = 0.35, and P(C) = 0.32? Explain.…

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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: Suppose P(A) = 0.28 and P(B) = 0.48 and A and B are independent. Events A and B are not disjoint.…

A: Answer is mentioned below

Q: Given P(A) = 0.061, P(B) = 0.197 and P(C) = 0.080 , and that events AB, and Care mutually exclusive,…

A: Given: P(A)=0.061P(B)=0.197P(C)=0.080 Since all three events are mutually exclusive. The objective…

Q: Given that P(A) = 0.09 P(B) = 0.20 and P(A and d B)=0.018 , are events A and independent ?

A: Given: P(A) = 0.09 P(B) = 0.20 P(A and B)=0.018 The objective is to find if events A and B are…

Q: Let A and B be two events such that P(A) = 0.6 and P(B) = 0.4. 1) Is P(C) = P(C given A) x P(A) +…

A: 1) Consider, P(C|A)P(A)+P(C|B)P(B)=P(C and A)P(A)P(A)+P(C and B)P(B)P(B)…

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: f ?A and ?B are disjoint events (mutually exclusive events) with ?(?)=0.3P(A)=0.3 and…

A: Solution: Let A and B are mutually exclusive events with P(A)= 0.3  and P(B)=0.4

Q: Is it possible for events A and B to be both mutually exclusive and independent? Justify your…

A: Disjoint Events:  Two events A and B are disjoint or mutually exclusive if and only if both do not…

Q: Classify the events as dependent or independent. Events A and B where P(A) = 0.6, P(B) = 0.8, and…

A:

Q: If A and B are independent events with P(A) = 0.25 and P(B) = 0.60,then P(A|B) is?

A: Given: A and B are independent events. P(A)=0.25P(B)=0.6 The objective is to find P(AB).

Q: Suppose P(E) = 0.3, P(F) = 0.5, and P(E and F) = 0. Are the events E and F are mutually exclusive?…

A: It is given that P(E) = 0.3, P(F) = 0.5 and P(E and F) = 0.

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: If P(A) = 3/4 and P(A and B) = 1/2, where A and B are dependent events, then P(B|A) equals?

A: Solution: From the given information, P(A) = ¾ and P(A and B)=1/2.

Q: If A and B are independent events, P(A)=0.25, and P(B)=0.85, what is P(B|A)?

A: Given that, A and B are independent events. P(A) = 0.25 P(B) = 0.85

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: P(B|A) If P(A) = 0.8 P(B) = 0.5 and A and B are independent events, What

A: It is given that, P(A) = 0.8, P(B) = 0.5 and A & B are independents events i.e. P(A∩B) =…

Q: Consider two events following receiving a bachelor’s degree from a prestigious university: A =…

A: GivenA=being accepted inti a graduate programP(A)=0.7B=receiving a job offerP(B)=0.7P(A|B)=0.9

Q: If A and B are two mutually exclusive events with P(A') = 0.659 and P(B) = 0.273, what is the value…

A: Solution: Given information: Let A and B are mutually exclusive events. P(A')= 0.659  P( A) = 1-…

Q: Let A and B be events with P(A)=.07, P(b)=.44, and P(B|A)=8 P(A and B)= ?

A: Given problem  Given that A and B be events P(A) = 0.07 P(b) = 0.44 P(B|A) = 8 We have to find P(A…

Q: Given p(A) = 0.5 and p(B) = 0.2 and A and B are mutually exclusive events. Are these events…

A:

Q: 3. Let C and D be events with P(C) = 0.1, P(D) = 0.6, and P(C U D) Are C and D independent? Explain.

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Q: Let X and Y be the two possible events of an experiment where, p(X) = 0.5, (XUY) = 0.9 and p(Y) = p.…

A:

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: AA and BB are independent events. If Pr(A∩B)=0.28 and Pr[A]=0.4, what is Pr[B]?

A:

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: Which of the following notation is used for not mutually exclusive events? * P(A or B) = P(A) + P(B)…

A: Given that  Two events A and B are mutually exclusive events.  P(A or B)=P(A)+P(B)

Q: If A and B are independent events, with P(A) = 0.5 and P(B) = 0.6, then the probability that A and B…

A:

Q: Suppose that A and B are independent events with P(A) = .40 and P(B) = .70, then P (B'/A') is

A: Given information- P(A) = .40 P(B) = .70 We have to find P (B'/A'). We know that- P(A’) = 1 - P(A)…

Q: Consider events A and B that are independent. Let P(A) = 0.2 and P(B) = 0.3. What is the probability…

A: Given data P(A) = 0.2 P(B) = 0.3 P(both event occurs) =?

Q: Can you explain: P(M^c ) union P(R)= P(M^c) +P(R) I thought this was true for only mutually…

A:

Q: Exercise 24 Let A and B be 2 events : P(A) and P(B') 3 Can A and B be mutually exclusive? Why?

A: It is given that, P(A) =1/3 and P(B') = 1/4. This implies that P(B) =1-1/4 =3/4 We know that the…

Q: Are the two events "owning a dog" and "owning a cat" complementary? O YES O NO O CAT O DOG

A: We have to find the

Q: If A and B are independent events, P(A)=0.28, and P(B)=0.67, what is P(B|A)?

A: Solution: Independent events: Two events A and B are said to be independent if the happening of one…