Consider two events B and C, such that P(B) = 0.28, P(C) = 0.46, and P(C n B) = 0.2, then P(C n B) is equal to:

Q: Given that P(A) = 0.17, P(B) = 0.08, and P(A and B) = 0.0136, are events A and B independent?

A: To find that both are independent

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: 2. Let A and B be events with P(A) = 0.5 and P(AnB") = 0.4. For what value of P(B) will A and B be…

A:

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: A particular telephone number is used to receive both voice calls and fax messages. Suppose that 25%…

A: Given A particular telephone number is used to receive both voice calls and fax messages. Suppose…

Q: It is known that P(AB)=0.45, P(B)=0.90 and the events A and B are independent.                Find…

A: Independent events are events that do not affect the outcome of subsequent events.

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: 8. For two independent events A and B, P(A and B) =

A: Events A and B are independent if occurrence of one event doesn't depend on any other event.…

Q: Consider two events B and C, such that P(B) = 0.28, P(C) = 0.46, and %3D P(C n B) = 0.2, then P(C n…

A:

Q: For two independent events A and B, P(A) = 0.4 and P(B) = 0.15. What is P(A or B)? 0.06 0.40 0.49…

A:

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: Consider two events A and B, such that P(A) = 0.42, P(B) = 0.36, and P(ĀNB) = 0.1, then P(ĀN B) is…

A: GivenP(A)=0.42P(B)=0.36P(A∩B)=0.1

Q: If A is the complementary event of A, P(A ) = 1 – P(A)< 1.

A:

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

A:

Q: If E and F are independent events with P(E) = 0.33 and P(F) = 0.33, then what is P(EC U U F)?

A: If E and F are independent events, then P(Ec∩F) = P(Ec)*P(F), where P(Ec) =[1 - P(E)] P(Ec∪F) =…

Q: Suppose that A and B are mutually exclusive events such that P(A) = 0.25 and P(B) = 0.40. Determine…

A: Special Addition Rule:

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 with P(A) = 0.8 and P(A ∩ B) = 0.2. For what value of P(B) will A and B be…

A: Given,  P(A) = 0.8  P(A ∩ B) = 0.2 P(B)=?

Q: Given that P(E) = 0.8, what must be true about the event E?

A: P(E) = 0.8

Q: Question * For two independent events A and B, if P(A OB) = 0,049 and P(A) = 10P(B), then P(A) is…

A: We have given that,  We have two independent events A and B and P(A∩B) = 0.049 and P(A) = 10P(B)…

Q: 13) Suppose that P(A) = 0.4, P(B) = 0.3 and P(AU B) = 0.6, then what is the conditional probability…

A: Given: P (A) = 0.4 P (B) = 0.3 P (A U B) = 0.6 P (B | A) needs to be calculated.

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,…

A:

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: Consider two events, A and B. Suppose that P(A)=.40,P(B)=.50,  and P(A∩B)=0.2 . Calculate the value…

A:

Q: Suppose that C and D are independent events such that P(C) = 0.7 and P(D) = 0.6. Find (C&amp;D).

A: Two events C and D are said to be independent if,

Q: A dice is rolled once. Let E be the event of an even number coming up, O the event of an odd number…

A: From the given information we want to know the event are independent or not.

Q: The P ( A ) = 0.16 and the P ( B ) = 0.16 . Events A and B are mutually exclusive. What is the P (…

A: Two events are said to be mutually exclusive, if they cannot both occur at the same time. Here A,B…

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: 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: If A and B are two independent events with P(A) = 0.15 and P(B) = 0.4, then P(AUB) is

A:

Q: Suppose that A and b are events such that P(A) = 0.75 and P(A&amp;B) = 0.25. Determine P(B|A).

A:

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: 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 N(E and F)=450 and N(E)=750. What is P(F|E)?

A:

Q: Let A and B be two events with P(A) = 0.71 and P(B) = 0.44. What is the largest possible value of…

A: In this question, we have the value of P(A) = 0.71 and P(B) = 0.44 and we have to find the maximum…

Q: Suppose that C and D are events such that P(C) = 0.35,P(D) = 0.40, and P(C&amp;D) = 0.30. Determine…

A:

Q: Suppose that C and D are mutually exclusive events such that P(C) = 0.14 and P(D) = 0.32. Determine…

A: Given, P(C) = 0.14  P(D) = 0.32  P(C or D)=?

Q: Suppose that C and D are events such that P(C) = 0.5 and P(C&amp;D) = 0.2. Determine P(D| C).

A: Conditional probability is the probability that one event will occur given that another has already…

Q: For this problem, assume that Pr[A∪B]=0.85and Pr[A]=0.3. (1) What is Pr[B]Pr[B] if A and B are…

A: (1) Given that A and B are independent events.  that means Pr[A∩B]=Pr[A]×Pr[B]   So from the union…

Q: Let A and B be two events with P(A) = 0.71 and P(B) = 0.44. What is the smallest possible value of…

A: According to the given question, A and B be two events with probability P(A)=0.71  and P(B)=0.44…

Q: AA and BB are independent events. If Pr[A]=0.3Pr[A]=0.3 and Pr[B]=0.5Pr[B]=0.5, what is…

A:

Q: For two events A and B, suppose P(A)=0.6, P(B)=0.2, and P(A|B)=0.7, then P(A U B)= __________.…

A:

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)?

A:

Q: IHA and B are mutually exclusive events with P(A) = 0.40 and P(B) = 0.20, then PAIB) is: 0.5 0.4…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Consider two events A and B, such that P(A) = 0.42, P(B) = 0.36, and P(ĀNB) = 0.1, then P(ĀN B) is…

A: Given,P(A)=0.42P(B)=0.36P(A¯∩B)=0.1