Suppose A, B and C are three events. Now p (A|B,C) = p (B|A,C) = 0.5,and p(A and C) = p (B and C) = 0.25. Here if p(C) = the probability of getting a red card from a deck of 52 cards, then

Q: At a certain​ hospital, 18 patients have lung​ cancer, 16 patients​ smoke, and 14 have lung cancer…

A: It is given that, The hospital contains 90 patients. Number of patient who has lung cancer = 18…

Q: . A committee of 4 is to be chosen from a group of 10 students. If Luis and Mercy are among those…

A:

Q: If the probabilities that an automobile mechanic will service 3,4,5,6,7,8 cars on any given working…

A: Given that, the probabilities that an automobile mechanic will service 3,4,5,6,7,8 cars on any given…

Q: In a certain population of women, 40% have had breast cancer, 20% are smokers and 13% are smokers…

A:

Q: If there are 12 people in a room: 3 democratic men, 3 republican men, 3 democratic women, and 3…

A: Given: Total number of people in a room = 12 Democratic men = 3 Republican men = 3 Democratic women…

Q: If a family has four children, is it more likely they will have two boys and two girls or three of…

A: Let X=the number of boysn=number of trials=4p=probability of success=12=0.5X follows a binomial…

Q: Suppose the probability that you will be elected president of AUSG is 0.15, and the probability that…

A: Solution

Q: An oil exploration company currently has two active projects, one in Alaska and the other in Texas.…

A: From the given information, Note: Here both the successful of projects are given as Alaska project.…

Q: Nicolas Cage is transporting the national treasure from town A to town Z, and in between he has to…

A: The probability of losing the national treasure from A to Q =0.03 The probability of losing the…

Q: In a particular child clinic, 17% of patients are prescribed colic drops. Overall, 7% of the…

A: According to the provided information, Let C denote the event that the patient is prescribed for the…

Q: A large industrial firm uses three local motels to provide overnight accommodations for its clients.…

A: Let R represents clients that are assigned rooms at Ramada Inn. Let S represents clients that are…

Q: 1. In a group of 40 people, 10 are healthy and every person the of the remaining 30 has either high…

A: As per our guidelines we are suppose to answer three sub parts. Let A be the event that a person has…

Q: 6. If the probabilities are 0.10, 0.14, 0.23, and 0.25, respectively, that a student buying a new…

A: The solution is as follows,

Q: A group of students consisting of 20 males and 20 females were selected to participate in a research…

A: Solution: From the given information, there are 20 males and 20 females. Total number of students is…

Q: Example 5: Box A contains 5 red and 3 white marbles and box B contains 2 red and 6 white marbles. If…

A: Answer: From the given data,

Q: In a group of 40 people, 10 are healthy and every person the of the remaining 30 has either high…

A: Note: Hi! Thanks for posting the question. Since there are more than three sub-part questions, we…

Q: In a certain city, 5% of all drivers have expired licenses and 10% have an unpaid parking ticket. If…

A: Ans-  Given, In a certain city, 5% of all drivers have expired licenses (event E)and 10% have an…

Q: 3) In a group of 40 people, 10 are healthy and every person the of the remaining 30 has either high…

A: The operator "∩" denotes the intersection of sets. For example: A∩B denotes the event which happens…

Q: A company is conducting sweepstakes, and ships two boxes of game pieces to a particular store. Box A…

A: Total probability law:Suppose {B1, B2, …, Bk} is a partition of a sample space S such that…

Q: If two or more events have the property that at least one of them must occur when the experiment is…

A: Exhaustive events:Two or more events are said to be exhaustive if there is a certain chance of…

Q: If the probabilities that an automobile machine will service 3,4,5,6,7, or 8, or more cars on any…

A: Given Information: The following table represents the number of cars that automobile mechanic will…

Q: In a certain conservative precinct, 69% of the voters are registered Republicans. What…

A: Solution: Given data; P = 0.69 Sample size (n) = 100 To find: P( X >= 58) =?

Q: If 63% of the people at a certain conference are doctors, 48% are women, and 39% are doctors, what…

A: The following information has been given: The probability that people at a certain conference are…

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: Assume for this problem that the company has 8 Yugos and 3 Buicks, and two cars are selected…

A:

Q: According to a recent​ report, 30​% of new businesses in 2013 were started by women and 70​% of new…

A: Given that P(new business women) = 0.3 P(new business men)=0.7 P(above 50,000) /new business women)…

Q: Mr. Eng, Mr. Hurl, Mr. Opaski, Mr. Bains, Mr, Shaw, Mr. Sandhu, and Mr. Lawrence are all in a…

A:

Q: Suppose that P(A) = .40, P(B) = .30, and P(A and B) = .15.  Are A and B independent events?  Why or…

A: From the given information, let A and B are two independent events.

Q: In a certain high school, 20% of the students belongs to the math club, 10% belongs to the student…

A: here define events student belongs to math club = M student belongs to council = C p(M) = 0.20  p(C)…

Q: Suppose P(A) = 0.2 and P(B) = 0.35, and P(A or B) = 0.48, for two events A and B. What is the…

A:

Q: 3) Suppose the probability of Kevin attending a party is 80% and the probability of Judy attending a…

A: Given: P( A) = P( kevin attend party) = 0.80 P(B) = P( judy attend party) = 0.95 Events A and B are…

Q: Suppose that an individual is randomly selected from the population, and define events by A = {type…

A: From the provided data we have, We have the events defined as, A = (type A is selected) B = (type B…

Q: In a group of 20 students, 7 like ice tea and the others do not. Two students are randomly selected…

A: Given : Total students = 20 Number of students like ice tea = 7 number of students does not like ice…

Q: 1) If a family has four children, is it more likely they will have two boys and two girls or three…

A: Solution : Given : A family have four children and probability of a child being boy = 0.5 ∴…

Q: A car factory produces cars in 4 different colors, and these colors are blue, yellow, white and red,…

A: It is given that there are 4 different colors, blue, yellow, white, and red. Where, the factory…

Q: 3. Suppose past data tells us that 12% of patients entering a clinic have liver disease and 5% of…

A: Let A be the event that denotes Patient has liver disease B be the event that denotes patient is…

Q: In any given turn while playing a board game, the probability that a player will win a second turn…

A: We have to find that the given event are independent or not....

Q: 2. In a class, 60% of the students have brown hair, 30% have brown eyes, 10% have both brown hair…

A: Given,P(student has brown hair)=0.60P(student has brown eyes)=0.30P(student has both)=0.10

Q: (a) a client will be assigned a room with faulty plumbing?  (b) a person with a room having faulty…

A: Here use probability tree diagram

Q: In the experiment of rolling a pair of dice, the events A, B and C are defined as A: getting 2 on…

A: Given that In the experiment of rolling a pair of dice, the events A, B and C are defined as A:…

Q: In a certain community, 40% of the family have a pool in the backyard, 65% have kid(s) and 30% have…

A:

Q: Suppose Julia owns a pen manufacturing company and determines that 3 out of every 75 pens are…

A: Note: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Suppose two events A and B are mutually exclusive. Would A' and B' also be mutually exclusive? If…

A: Mutually exclusive events are those whose outcomes do not have anything in common. That is, they do…

Q: An insurance company issues policies of two types - 20% are of type A and the remainder are of type…

A:

Q: A large industrial firm uses 3 local motels to provide overnight accommodations for its clients.…

A: Given that a large industrial firm uses 3 local motels to provide overnight accommodations for its…

Q: What is the probability either Dan or Jill will go to the party?

A: Here given,  The odds in favor of Dan going to the party tomorrow is 11:3. The odds against Jill…

Q: There is a 3/4 chance Matt will choose pepperoni pizza and a 1/3 chance Ashley will choose a salad.…

A: Given that the probability that Matt will choose pepperoni is 3/4. And the probability that Ashley…

Q: Determine if the events in the problem are independent or dependent, then find the probability of…

A:

Q: 4. Suppose you toss a coin and draw a card from a standard deck. Are these events independent or…

A: Two events are defined as A : tossing a coin B : drawing a card from standard deck.

Q: If two events are mutually exclusive why is P(A and B)=0?

A: Mutually exclusive is a statistical term describing two or more events that cannot happen…