Suppose that E and F are two events and that N(E and F) = 450 and N(E) = 870. What is P(F|E)? O 0.052 1.933 0.341 0.517

Q: Suppose that A, B are two events such that P(A)  = 0.7, P (B) = 0.55 and P  (A / B) = 0.6 Find P (A…

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Q: Suppose that A and B are independent events such that P(A) = 5/8 and P(B) = 4/7. Find P(A&B).

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Q: Suppose that E and F are two events and that P(E and F) = 0.3 and P(E)=0.8. What is P(FIE)? P(FIE)=…

A: given data  P(E and F) = 0.3 P(E) = 0.8 P(F|E) = ?

Q: Suppose that E and F are two events and that N(E and F) = 470 and N(E) = 570. What is P(F|E)? .....…

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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: Suppose that A and B are independent events such that P(A) = 0.3 and P(B) = 0.2. Find P(A&B).

A: The Special Multiplication Rule (for two independent event)

Q: A and B are events such that P(A) = 0.4 and P(B| A) = 0.7. Find P(A&B).

A: The formula for dependent event P (A and B) is given below:

Q: Suppose that E and F are two events such that Pr[E] = 11/23, Pr[F] = 8/23, and Pr[EN F] = 5/23. What…

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Q: C and D are two events with P(C)=0.4,P(D)=0.5, and P(C|D)=0.4. Calculate P(D|C). Give your answer…

A: Given, C and D are two events with P(C)=0.4, P(D)=0.5, and  To find:

Q: 1. Determine the following events. a. E-(not D) b. F-(A & D) c. G= (A or D) d. H= (B or C)

A: 5.1 a. The event D is defined as the student selected is over18. Also, event E = (not D). The event…

Q: A and B are independent events. If Pr[A]=0.5 and Pr[B]=0.7, what is Pr[A∩B′]?

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Q: Suppose that A and B are two events such that P(A) + P(B) < I. a What is the smallest possible value…

A: Given, A and B are two events such that P(A)+P(B)&lt;1

Q: Let A and B be events such that P (A) = 4/10 and that P (A∪B) = 7/10 Find the probability of B…

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Q: A and B are independent events. If Pr[A]=0.5 and Pr[B]=0.5, what is Pr[A∩B′]?

A: Given, Pr(A) = 0.5 Pr(B) = 0.5 To calculate PrA∩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: Suppose A and B are dependent events and P(B | A)=0.4, P(ANB)=0.1, P(B')=0.62. Find P(A U B).

A: Consider that A and B are two dependent events.

Q: The rule P (E U F) = P (E) + P (F) - P (EN F) is used for: * all events disjoint events O Any two…

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Q: Let A and B be two events such that P(A) = 1/6 While P(A or B) = 1/2. Let P(B) = P. For what values…

A: P(A or B)= P(A)+P(B)-P(A and B) For A and B to be independent P(A and B)=P(A).P(B) Therefore, P(A or…

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: Assume that the events A and B are independent with P(A) = .30 and P(B) = 40. The probability that…

A: We have given that,  P(A) = 0.30 and P(B) = 0.40 Then,  We will find the probability that  both…

Q: Given A and B are independent events, with P(A) = 0.50 and P(B) = 0.30. Find P(An B)

A: Given: P(A) = 0.50 P(B) = 0.30

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: For this problem, assume that Pr[A∪B]=0.55Pr[A∪B]=0.55 and Pr[A]=0.25Pr[A]=0.25. (1) What is…

A: P(A or B) =0.55 and P(A) =0.25. Events A and B are independent.

Q: Suppose that E and F are two events and that P(E and F) = 0.1 and P(E) = 0.4. What is P(F|E)? P(F|E)…

A: We have to find p(F/E)

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: Decide whether the following pairs of events are dependent or independent E is the event that a…

A: Given: E is the event that a resident of Texas lives in Dallas, and F is the event that a resident…

Q: For a medical experiment, people are clas-sified as to whether they smoke, have a family history of…

A: E: person smokes F: person has a family history of heart disease G: person is overweight

Q: Suppose you toss a fair coin twice. Let E be the event of getting a head on the first toss, and let…

A: a) When a fair coin is tossed twice then the possible outcomes are {HH,HT,TH,TT} We can get a head…

Q: Let A and B be events such that P (A) = 4/10 and that P (A∪B) = 7/10  Find the probability of B…

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Q: Suppose that events E and F are independent, P(E) = 0.4, and P(F) = 0.6. What is the P(E and F)? The…

A: The provided information are: P(E)=0.4 P(F)=0.6 The events are independent events to calculate P(E…

Q: Let A and B denote the events that the earthquake magnitude is low and the road debris is moderate.…

A: let, A=Earthquake magnitude is low B=Road debris is moderate

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 E and F are two events and that P(E and F)=0.48, P(F)=0.55, and P(E)=0.5. What is P(F…

A: Suppose that E and F are two events and that P(E and F)= 0.48 P(F)=0.55 and P(E)=0.5 What is P(F |E)…

Q: A and B are independent events. If Pr[A]=0.3 and Pr[B]=0.7, what is Pr[A∩B′]?

A: From the provided information,

Q: A and B are events such that P(A)=0.75 and P(B)=0.16 Find mutually exclusive P(A\B)

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Q: Suppose that E and F are two events and that P(E and F)= 0.1 and P(E)= 0.8. What is P(FIE)?…

A: Given that,E and F are two events,P(E and F)=0.1P(E)=0.8

Q: If A and B are dependent events such that P(A) = 5/8  and P(B|A) = 3/7, find P(A ∩ B).

A: Given data, P(A) = 5/8   P(B|A) = 3/7 P(A ∩ B)=?

Q: Suppose that E and F are two events and that N(E and F)=450 and N(E)=750. What is P(F|E)?

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Q: Suppose that E and Fare two events and that N(E and F)- 370 and N(E) = 760. What is P(F|E)? 0.487…

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Q: Suppose that E and F are two events and that P(E and F) = 0.1 and P(E) = 0.4. What is P(F|E)? P(FIE)…

A: GivenP(E AND F)=0.1P(E)=0.4

Q: Suppose that E and F are two events and that P(E and F) = 0.2 and P(E) = 0.5. What is P(FJE)? P(FJE)…

A: Given: P(E and F) = 0.2 P(E) = 0.5

Q: For this problem, assume that Pr[A∪B]=0.85 and Pr[A]=0.5Pr[A]=0.5. What is Pr[B] if A and B are…

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Q: Suppose that events E and F are independent, P(E)= 0.4, and P(F)=0.7. What is the P(E and F)? The…

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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…

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Q: Suppose that A and B are two events for which P(A)=0.22, P(B)=0.82, and P(AandB)=0.36 Find P(A|B).

A: We have to find conditional probability. Formula : P(A|B)=P(A and B)P(B)

Q: Consider events A and B that are independent. Let P(A) = 0.2 and P(B) = 0. probability that both…

A: Events A and B are independent. P(A)=0.2 P(B)=0.1