A bag contains 12 balls, of which 5 are red (R) and 7 are blue (B). The balls are indistinguishable apart from color. We are interested in choosing 2 balls from the bag, one at a time. A ball is chosen at random from the bag, it is replaced and a second ball is chosen. (a) If the first ball is red, what is the probability that the second is also red? (b) If the first ball is not red, what is the probability that the second is also not red?"

Q: Suppose a bag contains two coins, one coin is fair, and the other is a two-headed coin (heads on…

A: E1: Fair coin  P(E1) = 0.5 E2: Biased coin   P(E2) = 0.5 A: All three tosses are head P(A|E1) = 0.5…

Q: 11. At Athens country club 73% of the member play bridge and swim, and 82% play bridge. If a membet…

A: Given: Prob. that member play bridge and swim =0.73 Prob. that member play bridge  =0.82

Q: A company has just received a shipment of 100 computer chips, of which 20 are actually defective.…

A: A company has just received a shipment of 100 computer chips, of which 20 are actually defective.…

Q: A lottery has a grand prize of $360,000, three runner-up prizes of $45,000 each, nine third-place…

A: According to the given information:Total grand price for lottery(x1) = $360,000Total runner up price…

Q: A bin in discount store contains 100 blank cassette tapes, of which 10 are known to be defective. If…

A: Given: A bin in discount store contains 100 blank cassette tapes, of which 10 are known to be…

Q: Urn A has 5 white balls and 7 black balls. Urn B has 3 white balls and 12 black balls. A fair coin…

A: 10) Given that the urn A has 5 white balls and 7 black balls. Urn B has 3 white balls and 12 black…

Q: A car manufacturer is concerned about the possible recall of their best-selling pick-up trucks. If…

A:

Q: 3. Suppose at a small college, 30% of the students are freshmen, and 60% of the students live on…

A:

Q: Two teams of 10 players are created from a group of 20 people. Suppose you and your friend are in…

A: Probability: If a random experiment results in n mutually exclusive and equally likely outcomes; out…

Q: In a large hospital, suppose that 35% of patients suffer from disease A, 40% of patients suffer from…

A: Disclaimer: Since you have posted a question with multiple subparts, we will solve first 3 subparts…

Q: A box contains 5 red and 4 white marbles. Two marbles are drawn successively from the ithout…

A: Given A box contains 5 Red and 4 white marbles.

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: What is the probability that a green ball is selected from the first box?

A: Here use tree diagram

Q: There are 6 passengers on the bus, and there are 6 remaining stops before the end of the route.…

A: Given that: Total number of passengers on the bus = 6 And there are 6 remaining stops before the end…

Q: A magician has 10 coins in his pocket. Eight of these coins are normal fair coins (with one head and…

A: According to the provided information, A magician has 10 coins in his pocket. Eight of these coins…

Q: In a small City, approximately 22% of those eligible are called for jury duty in any one calendar…

A: It is given that, approximately 22% of the eligible, in a small city, are called for jury duty in…

Q: A class in advanced physics is composed of 10 juniors, 30 seniors, and 10 graduate students. The…

A: Given data:     The numbers of juniors in the class are: n(J)=10. The numbers of seniors in the…

Q: Suppose that 60% of all adults regularly consume coffee, 40% regularly consume carbonated soda, and…

A: If A and B denotes two events, the probability PA∪B denotes the probability of happening of either…

Q: A shop has 11 video games to choose from, and 4 of these contain extreme violence. A customer picks…

A: We have given that n = 3 Probability (p) = 4/11 = 0.36

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: In a certain residential suburb, 60% of all households get internet service from the local cable…

A: Here the given information,Let A: households get- internet service from the local cable company.…

Q: Three professors administer a common exam without technical problem to their classes of 40 students…

A:

Q: In a factory, robots 1, 2, and 3 produce wires of the same length, with 2%, 1%, and 3% defective…

A:

Q: A monkey likes eating olives and in a plate there are twenty olives and exactly fifteen of which…

A: There are twenty olives and fifteen have their seeds removed. The monkey could have eaten 0,1,2,3,4…

Q: Seventy percent of the light aircraft that disappear while in flight in a certain country are…

A: Consider D is defined as discovered a light aircraft which disappeared in certain country. And E is…

Q: In a class of 25 students, 3/5​ of the class are boys, 2/5of the class have ​blonde hair, and 1/5​…

A: We have to find given probability.

Q: A manufacturer obtains​ clock-radios from three different​ subcontractors:10%from​ A, 20%from​ B,…

A: Let us denote X= defective  Given that P(A)= 10%=0.10  P(B)= 20%= 0.20  P(C)= 70%=0.70  P(X|A)= 5%=…

Q: If new cases of West Nile in New England are occurring at a rate of about 2 per month, then what’s…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Two machines A and B make 60% and 40%, respectively, of the products. It is known that 3% and 5% of…

A: Given data: Two machines A and B make 60% and 40%, respectively, of the products. It is known that…

Q: new secretary has been given n computer passwords, only one of which will permit access to a…

A: Given, The new secretary has n computer passwords, out of which only 1 is correct. Now, a password…

Q: here are 500 seniors at a certain high school, of which 230 are males. It is known that 30% of the…

A: Using Tree diagram I have answered it

Q: Suppose that 40% of all adults regularly consume coffee, 50% regularly consume carbonated soda, and…

A: Introduction:  Probability of intersection of two events:  Probability of intersection of two events…

Q: A box contains 20​ chocolates, but only two of them are the dark chocolate that somebody likes. When…

A: Theoretical Probability:Probability of an event is the number of outcomes favourable to the event,…

Q: A website reports that 70% of its users are from outside a certain country, and 60% of its users log…

A: Let O denote that randomly selected users are from outside the country. I denote that randomly…

Q: A manufacturer of metal pistons finds that on the average, 12% of his pistons are rejected because…

A: This is the case of binomial, as there are two possible outcomes with a fixed number of trials.…

Q: In a country, 75% of the graduates are citizens,60% of the citizens graduates are employed while…

A: Given , 75 percent of the graduates are citizens ... Among them 60 percent of citizens are employed…

Q: A box contains 24 light bulbs of which four are defective. If one person selects 10 bulbs from the…

A: According to the provided information, a box contains 24 bulbs out of which four are defective. One…

Q: 2. A factory runs three shifts. In a given day, 1% of the items produced by the first shift are…

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

Q: (a) The probability that an automobile being filled with gasoline will also need an oil change is…

A: Given Information: Probability that an automobile being filled with gasoline will also need an oil…

Q: The probability that an automobile being filled with gasoline also needs an oil change is 0.25; the…

A: From the given information, we have, The probability that an automobile being filled with gasoline…

Q: At a certain company, the mentoring program and the community outreach program meet at the same…

A: Given Mentoring=0.43 Outreach=0.32

Q: A manufacturer obtains​ clock-radios from three different​ subcontractors: 40%from​ A,10%from​ B,…

A: It is given that a manufacturer obtains clock-radios from three different subcontractors are 40%…

Q: A company has 20 Blu-ray players of which 6 are defective. If four are sold, what is the probability…

A:

Q: A snack tray is arranged with 6 cups of apple slices in the first row, 8 cups of orange slices in…

A: Introduction: Suppose an experiment consists of n total number of possible outcomes, out of which, n…

Q: In a certain country, the true probability of a baby being a girl is 0.488. Among the next six…

A: Probability of a baby being a girl is 0.488. Probability of a baby being a boy is 0.512.

Q: In a production line where shirts are produced, shirts in two colors, blue and red, are produced. It…

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

Q: 4/ A public health researcher examines the medical records of a group of 837 men who died in 1998…

A: We first make a table using the given data   died from heart disease did not die from heart…

Q: A retail shop accepts only cash or checks . Suppose that 61% of its customers carry cash , 30% carry…

A: Given information- Probability of customers carry cash, P (Cash) = 0.61 Probability of customers…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.