d. What is p(C|B)? е. Consider all pairs of events: A and B, A and C, and B and C. Which pairs of events are independent and which pairs of events are not independent? Justify your answer.

Q: 15.) In a large apartment complex, 40% of residents read USA Today, 25% read the New York  Times,…

A: Given information Probability that residents read USA today P(A) = 0.4 Probability that residents…

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: Two events, A and B, are such that P(A∪B) = 0.86, P(B) = 0.72 and P(A) = 64. Determine (i) P (? ∩…

A: A and B are two events. The known values are PA=0.64, PB=0.72 and PA∪B=0.86 i)…

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

A:

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)

A:

Q: Let A and B be two independent events with P(A)= 0.4 and ?(?⋃?)=0.64. What is P(B)?

A: given: P (A) =0.4 P (AUB) =0.64

Q: Consider two events with P(B)= .4 and P(A or B)= .9 and P(A and B)= .2  Find P(notA).

A: GivenP(B)=0.4P(A∪B)=0.9P(A∩B)=0.2

Q: Given P(A) = 0.67, P(B) = 0.70, and the fact that events A and B are independent, What is P(A and…

A: GivenP(A)=0.67P(B)=0.70The events A and B are independent

Q: Are the events ‘Korea’ and ‘Black’ Mutually Exclusive? Justify your response. 2.  Are the events…

A: 1. Mutually Exclusive Events: The events E and F are mutually exclusive events. That is, P(E and…

Q: Are the events male cheated and female right independent? Show the computations needed to justify…

A:

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.…

A:

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: (iv) Are the events 'Korea' and 'Black' Mutually Exclusive? Justify your response. (v) Are the…

A: Let K denote the event Korea and B denote the event Black (iv) The 2 events K and B will be mutually…

Q: I. Find P(C U B). J. Are C and B mutually exclusive events? Show why or why not.

A:

Q: you are givin the information that P(A) = 30 and P(B) = 0.40. Do you have enough information to…

A:

Q: Are the events ‘Korea’ and ‘Black’ Mutually Exclusive? Justify your response. (v) Are the events…

A: From the given information,   Black Silver White Total Korea 33 34 35 102 Japan 23 9 24 56…

Q: Given that events "A" and "B" are independent, P(A) = 0.80, and P(A and B) = 0.24, what is P(B)?

A: If two events A and B are independent, then P(A∩B)=P(A)*P(B) Given, P(A)=0.8 and P(A∩B)=0.24 So, it…

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

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: Suppose that EE and FF are events of a sample space, SS. If Pr[E′∩F]=0.2Pr[E′∩F]=0.2,…

A: Given that:PrE'∩F=0.2, Pr[F]=0.5, Pr[E'∩F']=0.2We have to find Pr[E].

Q: (iv) Are the events 'Korea' and 'Black' Mutually Exclusive? Justify your response. [2] (v) Are the…

A:

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

A:

Q: Given P(A) = 0.54, P(B) = 0.40, and the fact that events A and B are independent, What is P(A and…

A: P(A) = 0.54 P(B) = 0.40 Event A and Event B are independent events.

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: 3. a. Explain in your own words what it means for two events to be mutually exclusive. b. If events…

A: We have given that  P(A ) =0.3   ,  P(B) = 0.4  AND two event are mutually exclusive.

Q: Show that if 4, and A, are two events, then P(A₂)+P(A₂)−1≤P(44₂).

A: First we will write Inclusion-exclusion principle for two sets.

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

A:

Q: Given P(A) = 0.91, P(B) = 0.35, and the fact that events A and B are independent, What is P(A and…

A:

Q: B) what is the probability of randomly selecting a male? C) what is the probability of randomly…

A: Since you have posted multiple sub-parts, we will solve the first three sub-parts for you. To get…

Q: Suppose that C and D are two events such that P(C)=1/2 and P(C & D)=3/10. What is P(D|C)​?

A:

Q: Suppose that, for events A and B, P(A)= 0.2, P(B)= 0.85, and P(AandB)= 0.17.   Are A and B…

A:

Q: Facebook Twitter 4 9 1 3 1 4 2 Google

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: n 1999, Entergy Corporation had 2,522,059 electricity customers. Of these, 86.5% were in the…

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any…

Q: (a) What is the probability of it coming down heads five times and tails five times? (a) . (b) What…

A: Binomial distribution is most basic form of probability distribution . It forms the backbone of…

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: Are the events A and B mutually exclusive? d) Are the events A and C disjoint? e) Are the events A…

A: Given that  S = {1,2,3,4,5,6,7,8,9,10}  A = {1,2,3,4,5}, B = {4,5,6,7,8} C= {7,9}.

Q: vent that the European project is successful. Suppose that A and B are independent events with P(A)…

A:

Q: If P(A|B) = 0.3, P(B) = 0.8, and P(A) = 0.3, are events B and the complement of A independent?…

A:

Q: Given P(A) = 0.67, P(B) = 0.49, and the fact that events A and B are independent, What is P(A and…

A:

Q: (i) not manu factured in Japan. (ii) is a white car, given that it was manufactured in America. (iv)…

A: Given Information:   Black Silver White Total Korea 33 34 35 102 Japan 23 9 24 56 America…

Q: What is the probability of randomly selecting a student that is a car rider OR uses the bus? Also,…

A: Total number of people who either use the bus or a car rider is 26+35=61. Total number of people are…

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: An individual is presented with three different glasses of cola, labeled C, D, and P. He is asked to…

A:

Q: Q2/ An urn contains 5 red, 6 blue, and 8 green balls. If a set of 3 balls is randomly selected, what…

A: It is given that Number of red balls = 5 Number of blue balls = 6 Number of green balls = 8 Total =…

Q: Assume that two events A and B are mutually exclusive. P(A) =.75, P(B) = .25 What is P(AnB)? What is…

A: