An experiment can result in one of five equally likely simple events, E,, E, E. Events A, B, and Care defined as follows. A: E,, E, P(A) - 0.4 B: E, E,, E, E, P(B) = 0.8 C: E,, E, P(C) - 0.4 Refer to the following probabilities. P(AN B) - 0.2 P(A|B) - 0.25 P(B|A) = 0.5 P(B U C) - 1 P(B|C) - 0.5 P(C|B) - 0.25 Use the Addition and Multiplication Rules to find the following probabilities. (a) P(A U B) P(A U B) - -Select-- + -Select-- V- -Select-- V- (b) P(A N B) P(AN B) --Select--- V P(B) - (c) P(BnC) P(B n C) = -Selact- V) . P(C) = Do the results agree vwith those obtained by listing the simple events in each? P(A U B) = P({E,, E,, E,, E,, E,}) = 1 P(A N B) = P({E,}) = 0.2 P(B n C) = P({E,}) = 0.2 O Yes O No

Q: . Consider two events A and B in a probability experiment. Define A to be the complement of event A…

A: Step 1: State the given conditions.P(A∪B) = 0.75P(A∩BC) = 0.25P(AC∩B) = 0.35 Step 2: Define the…

Q: Two events A and B are independent if... There are 3 different formulas to test for probability…

A: We have given thatTwo events A and B are independent

Q: A statistical experiment has eight equally likely outcomes that are denoted by 1, 2, 3, 4, 5, 6, 7,…

A: Sample space=(1,2,3,4,5,6,7,8) Event A=(1,4,7,8) Event B=(3,6,7) P=1/8

Q: Q. 4 Let A, B, and C, be independent events with probabilities pa, Pb. Pc of occurring,…

A: The probabilities of 3 events A, B and C are defined as Pa, Pb and Pc respectively. Since the…

Q: If A A and B B are events with P (A) = 14 P (A) = 14, P(B) = 12 P (B) =12, and P ( ANB) = 16 P(ANB)…

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Q: If A and B are events with P(A)=0.6, P(A OR B)=0.98, P(A AND B)=0.02, find P(B).

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Q: If A, B are two events, where P(A)= 0.4, P(B)= 0.55, P(A U B) = 0.85, then P(AN B): %3D a. 0.1 O b.…

A:

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

A:

Q: If A and B are mutually exclusive events then O a. 1- P(AN B) = P(A) + P(B) %3D | O b. P(AU B) =…

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

Q: If A and B are mutually exclusive events with P(A) = .3 and P(B) = 0.5, then P(A n B) = (CSLO 1,3,

A:

Q: If P(A)=0.3 and P(B)=0.6, find each probability  a) P(A and B) if A and B are independent events…

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Q: If a class has 8 freshmen, 5 sophomores, 4 juniors, and 2 seniors, what is the probabilitythat three…

A: Given: 8 freshmen 5 sophomores 4 juniors 2 seniors Total = 8+5+4+2=19

Q: 1/1, 1/2, 1/3, 1/4, 1/5, 1/6 3/1, 3/2, 3/3, 3/4, 3/5, 3/6, 4/1, 4/2, 4/3, 4/4, 4/5, 4/6, 5/5, 5/2,…

A: It is an important part of statistics. It is widely used.

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…

A:

Q: 12. You have three red cards numbered 1, 2, 3 and two orange cards numbered 1, 2. Finding the…

A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

Q: Consider an event with only three possibilities - A, B and C. Let P(A), P(B) and P(C) be the…

A:

Q: f A and B are events with P(A)=0.6, P(AorB)=0.98, P(AandB)=0.02, findP(B)

A: It is given that P(A)=0.6, P(A or B)=0.98 and P(A and B) =0.02.

Q: Let A and B two events with P(A) =0.25 and P(B) =0.45 and P(A n B) = 0.1 then P(Ā N B) = 0.35. O…

A: The given probabilities are PA=0.25,PB=0.45,PA∩B=0.1. Now, PA¯∩B=PB-PA∩B=0.45-0.10=0.35=True Thus,…

Q: If A and B are independent events such that P(A )=0.7 and P(B)=0.5 then P(A U B) O a. 0.9 O b. 0.5…

A: Probability: If a random experiment results in n mutually exclusive and equally likely outcomes; out…

Q: Q. 4 Let A, B, and C, be independent events with probabilities Pa, Pb, Pc of occurring,…

A: It is an important part of statistics. It is widely used.

Q: Suppose P(B) = 0.4, P(D) = 0.6, and P(BND) = 0.2. Find the probabilities below. a. P (DC) b. P (BC)…

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Q: Let A, B, and C be independent events with P(A)= 0.8, P(B)= 0.3, and P(C)=0.4 Find P(A and B and C).…

A: given A, B, and C be independent events  P(A)= 0.8, P(B)= 0.3, and P(C)=0.4 P(A and B and C ) = ?

Q: 1. Two events have P(A) = P(B|A) = and P(A/B) = Compute P(A n B), P(B), P(A U B). 2. A, B, and C are…

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Q: Let A and B be two events, such that p(A) = 0.8, p(B) = 0.7, and p(AB)=0.5. We can use a Venn…

A: a) To find the conditional probability p(A | B), which is the probability of event A given that…

Q: If A and B are independent events with P(A) = 0.1 and P(B) = 0.4, then P(A or B) is a. 0.46 O b. 0…

A: P(A) =0.1P(B) =0.4

Q: Suppose A and B are two events with probabilities: P(A) = .50, P(B) = .40, P(A N B) = .25. a) What…

A: Given P(A)=0.5P(B)=0.4P(A∩B)=0.25 Formula of conditional probability A given B is:P(A/B)=P(A∩B)P(B)…

Q: A: Ey. E, P(A) = 0.4 B: E,. E, E, E, P(B) = 0.8 C E, E, P(C) = 0.4 Find the probabilities associated…

A: Comments: As per our guidelines we are supposed to answer only three subparts.  Kindly repost other…

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

A: The sample space of experiment is The evetns A , B and C are as

Q: et a,b,c be three events and suppose you have the following probabilities    p( a u b u c ) = .73…

A: For three events A, B and C, we know that  P(A∪B∪C)=P(A)+P(B)+P(C)-P(A∩B)-P(B∩C)-P(A∩C)+P(A∩B∩C) we…

Q: If A, B and C are independent events, given that P(A)=0.4, P(B)=0.2, P(C)=0.3, find P(ANBNC) (3…

A: We have to find given value..

Q: 12. You have three red cards numbered 1, 2, 3 and two orange cards numbered 1, 2. Finding the…

A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

Q: If A and B are independent events and P(A) = 0.2, P(B) = 0.6 then P(A-B) is: Select one: a. 0.6 b.…

A: Given that A and B are independent events. This means: P(A and B)=P(A)P(B)= (0.2)(0.6)=0.12

Q: If A and B are independent events, and P(A) = 0.2, P(B) = 0.3, find the following:  a)         P(A…

A: Given Data: The probability of event A is: P(A)=0.2 The probability of event B is: P(B)=0.3   Event…