If A, B and C are mutually exclusive and exhaustive events, find P(B) if P(A) = P(B).

Q: If A and B are mutually exclusive events, then P(A U B) equals А.Р(А)+Р(B)-Р(АВ) В.Р(А)ХP(В)…

A: Event A and event B are two mutually exclusive events. The general formula of the probability of A…

Q: a. Assume that the selections are made with replacement. Are the events independent?

A: here use given contingency table

Q: If A and B are two independent events, then P(A|B) = P(B) True or false?

A: We have given that,  If A and B are two independent events, then P(A|B) = P(B) True or false?

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: If A and B are independent events with P(A) = 0.4 and P(B) = 0.6, then P(AnB)=

A: A and B are independent events  P(A) = 0.4  P(B) = 0.6

Q: If A and B are mutually exclusive events with P (A) = 0.30 and P (B) = 0.40, then P (A or B) is:

A: GivenP(A)=0.30P(B)=0.40A and B are mutually exclusive

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…

A:

Q: If A and B are two mutually exclusive events with P(a) > O and P(b) > 0 then it implies they are…

A: Hello, thanks for your question but according to our policy I am answering the very first question.…

Q: If A and B are mutually exclusive events then: Select one: P(A and B)=P(A)+P(B) PCA or B)-P(A)+P(B).

A: A and B are mutually exclusive events if they cannot occur at the same time. This means that A and B…

Q: Suppose that A and B are events such that: P(A) = —‚P(B) = 10 and P(A or B) = Use rule of sum and…

A: Given Information: p(A)=310p(B)=12p(A or B)=25

Q: Show that if B1, B2, and B3 are independent events then B1 and B2 U B3 are independent. Furthermore,…

A: Two events are said to be independent if the occurrence of one of them does not depend on that of…

Q: If A and B are mutually exclusive events with P(A) = 0.295, P(B) = 0.32, then P(A | B) =

A:

Q: If A and B are independent events with P(A) = 0.35 and P(B) = 0.20, then, P(A ∪ B) =

A: We have given that two events A and B are independent. P(A) = 0.35 P(B) = 0.20 We have to find P (A…

Q: If A and B are independent events such that P(A) = 0.4 and P %3D

A: Concept: If the probability of occurrence of one event is not affected by the probability of…

Q: 91. Give an example of two events that are not mutually exclusive.

A:

Q: If X and Y are mutually exclusive events with P(X) = 0.295, P(Y) = 0.32, then P(X/Y)=?

A: Given X and Y are mutually exclusive events P(X) = 0.295, P(Y) = 0.32 If X and Y are mutually…

Q: If A, B, C are are independent of C. independent events, show directly that both AUB and A\ B

A: Given that A, B, and C are independent means that, A∩B=B∩C=C∩A=A∩B∩C=φ.... (1) Now, A∪B be can be…

Q: Suppose A and B are two independent events. Prove A' and B are independent events. (Note: this is…

A: Given A and B are independent

Q: If A and B are independent events with P(A)=0.1 and P(B)=0.7, find P(A AND B).

A: Introduction: Suppose X and Y are two events, with respective probabilities P (X) and P (Y). Denote…

Q: If two events are mutually exclusive, then they are independent Select one: True False

A:

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: Assuming the existence of two possible events A and B, state and explain the probability rules of…

A:

Q: Given that A and B are independent events, show that A and B are also independent events.

A:

Q: a) Show that the probability of the union of (non-mutually exclusive) events A and B can be written…

A: Let A and B are the two events. The union of two events is, PA∪B=PA+PB-PA∩B.............(1)

Q: If two events are mutually exclusive, then they are independent. select one : a. True b. False

A:

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: b) Given that A and B are independent events, show that A and B are also independent events.

A:

Q: If A and B are independent events, show that A' and B are also independent. [Hint: First estabblish…

A: Independent events:If the events A and B are said to be independent then P (A and B) = P (A) × P…

Q: If A and B are two events such that P(A) = 0.3 and P(B) = 0.6, then P(A|B) = ____

A: We have given that,  A and B are two events and P(A) = 0.3 and P(B) = 0.6, then, We will find P(A|B)…

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: 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: : If A, B, C are mutually independent events then A UB and C are also independent.

A: Answer: For the given data,

Q: If A and B are independent events. Then A and BC are independent.

A:

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: If two events are independent then their compliments are also independent. true False

A: Two events are said to be independent if occurrence of one event does not affect the occurrence of…

Q: Let A, B and C be three independent events such that P(A)=P(B)=0.3 and P(C)=0.5. Find the…

A: It is given that the, P(A) = P(B) = 0.3 and  P(C) =0.5 and since these 3 events are independent.

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: Let A, B, and C be mutually exclusive and exhaustive events such that P(A)=0.4 and P(A U B) = 0.5.…

A: let A,B and C be mutually exclusive and exhaustive events such that P(A)=0.4 and P(A∪B)=0.5find…

Q: Determine whether each of the following statements is true or false, and explain why. If two events…

A: Given-  If two events are mutually exclusive, then they are independent. To determine- whether the…

Q: If A and B are independent events. Then AC and BC are also independent events.

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: Suppose A and B are mutually exclusive events, and that P(B)=0.44 and P(A OR B)=0.81. Find P(A).

A:

Q: If A and B are independent events, with P(A) = 0.2 and P(B) = 0.3,then P(A and B) is?

A: Given, A and B are independent events. P(A)=0.2 P(B)=0.3

Q: Are rolling a 4 and rolling a 3 mutually exclusive events?

A:

Q: If A , B, C are independent events, show directly that both A U B and A \ B are independent of C.

A: Event: In probability theory, an event is an outcome or a set of outcomes of a random experiment to…

Q: Which pair(s) of events are Mutually Exclusive.

A: In a competition, two people will be selected from four finalists to receive first prize and second…