At Roanoke College it is known that 1 3 of the stu-dents live off campus. It is also known that 5 9 of the stu-dents are from within the state of Virginia and that 3 4of the students are from out of state or live on campus. What is the probability that a student selected at ran-dom from Roanoke College is from out of state and lives on campus?

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: box A contains 5 nickels and 3 quarters, while box b contains 8 nickels and 4 quarters. A coin is…

A: Consider, A and B be the event that show that coin is chosen from box A and box B respectively. N is…

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

A: It is given that the probability that both the oil and the filter need changing is 0.14, the…

Q: A random sample of adults that arrive late to work found that 50% of the time was because of rain,…

A: It is given that, The probability that adults arrive late due to rain is = P(rain) = 0.50 The…

Q: Suppose that two friends are independently attempting to ride their bikes all the way from Normal to…

A: Suppose, A and B are friends. Their individual chances of success are 30% and 35%. Hence,…

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

A:

Q: A recent survey indicates that 62% of HKBU students who registered in an MATH course have purchased…

A:

Q: Suppose it has been observed that an average of six vehicles passes by their house per minute on…

A: Let X denote the number of passing vehicles on a Wednesday morning per minute.

Q: Suppose that last month, WestJet flights arrived on time 74% of the time and you were on 3 of those…

A: Given: Number of flights (n)=3 Probability of success (p) = 0.74 Consider X be the random variable…

Q: 5. In a certain town 40% have brown hair, 25% have brown eyes and 15% have both brown hair and brown…

A:

Q: Progressive has found 7% of all policy holders were in a car wreck last year if 13 policy holders…

A:

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: The probability that an automobile being filled with gasoline also needs an oil change is 0.35; the…

A:

Q: One bag contains 6 white balls, 3 red and 4black balls, and a second bag contains 4white balls and 6…

A: 1st bag:no.of white balls=6no.of red balls=3no.of black balls=4Total no.of balls=132nd bag:no.of…

Q: When someone buys a ticket for an airline flight, there is a 0.0971 probability that the person will…

A: It is provided that the probability (q) of the person who buys a ticket for an airline will not show…

Q: A lie detector is known to be 70% reliable when the person is quilty and 95% reliable when the…

A: The machine is reliable when person is guilty is 70% The machine is reliable when person is not…

Q: Urn A contains 2 white balls and 1 black ball, whereas urn B contains 1 white ball and 5 black…

A: Let us denote B=black and W=white Given that Urn A contains 2 white balls and 1 black ball So, we…

Q: A farmer said that 2/3 of his apple trees were attacked by fruit flies. If the inspection is carried…

A:

Q: 3 oassangers enter randomly to 6 carrieges. What is the probability that each of them enters to…

A:

Q: The Dean of the College of Computer Studies collected information about undergraduate students…

A: The table given below helps to find the probability:   Quameth Webdev Dstuct Comprog Row total…

Q: If the two winners are drawn with replacement, what is the probability that a friend of the…

A: A raffle is held in the IT department of a company in which 10 of the 40 members who bought raffle…

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: 2. Assume that there are 30 faulty products in a lot of 300 on average. If a shipment of 100 is…

A: The proability of faulty product is calculated as p=30300=0.1 Given: n=100 Let x~B(n,p)

Q: The employees of a firm that manufactures insulation are being tested for indications of asbestos in…

A: NOTE-AS PER POLICY I HAVECALCULATED FIRST MAIN QUESTION ONLY       Here Given proportion of…

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: Suppose it has been observed that an average of six vehicles passes by their house per minute on…

A: Random variables are of 2 types, discrete and continuous. A discrete random variable can only take…

Q: It is known that 40% of the students in a certain college are girls and 50% of the students are…

A: A : a student is a girl B : a student is above median height P(A) = 0.40, P(B) = 0.50, P(B|A’) = 2/3…

Q: Suppose there is a 11.8% probability that a randomly selected person aged 40 years or older is a…

A: Let F denotes Female J denotes Jog From the given information

Q: forcater knows from historical data that the daily probability of rain is 0.3 during april. what is…

A: It is given that the, A weather forecaster knows from historical data that the daily probability of…

Q: Suppose 30% of smoke alarms produced by a company are defective. A family purchases 3 smoke alarms…

A:

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

A: Here given that 3 out of every 75 pens are defective.  So , p = 3 / 75

Q: It has been determined that 65% of all Canadians have brown eyes and that 11% of Canadians are…

A: From the given information, The percentage of Canadians have brown eyes is 65%. The percentage of…

Q: Suppose there is a 21.9% probability that a randomly selected person aged 25 years or older is a…

A:

Q: Suppose that 2% of all people have brain clouds, and there is a test with the property that 92% of…

A:

Q: In a small city, approximately 23% of those eligible are called for jury duty in any one calendar…

A: Given that approximately 23% of those eligible are called for jury duty in any one calendar year.…

Q: American Highway Safety Administration show that on an average weekend night, 1 out of every 8…

A: Givenp=18=0.13n=448x~Binomial(n=448,p=0.13)P(X=x)=Cxn px (1-p)n-x ; x=0,1,...,n

Q: There are 9 red eggs and 6 green eggs in a tank. Grogu reaches in and randomly eats 3 eggs. What is…

A: Number of red eggs, n(R)=9. Number of green eggs, n(G)=6. Total number of eggs, N=15. Randomly…

Q: In a second-grade class containing 13 girls and 9 boys, 2 students are selected at random to give…

A:

Q: If the probability that South Florida will be hit by a hurricane in any single year is  5/19 1.…

A: Consider the probability that "SF" will be hit by a hurricane in any single year is  5/19. (a) The…

Q: Suppose that historically, 36% of applicants that are offered admittance to Texas Tech actually…

A:

Q: The Mighty Mouse Amusement park fills to capacity 73.1% of the time. Out of 3 randomly selected…

A:

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: A firm has two computer systems available for processing telephone orders. At any given time, system…

A: The given probabilities are: P(System A is down) = 10% = 0.10 P(System B is down) = 5% = 0.05

Q: A grocery store obtains 35% of its produce from vendor A and 65% from vendor B. It is expected that…

A:

Q: committee of 4 is being formed randomly from the employees at a school: 4 administrators, 32…

A:

Q: Suppose that 30% of RunningWithTheDevil’s female visitors previously visited LetsRun.com and 10% of…

A: Probability that a customer is a female is: PFemale=12=0.5 Probability that a customer is a male is:…

Q: A hand of 5 cards is dealt to each of three players from a standard deck of 52 cards. (a)What is the…

A: Given, A hand of 5 cards is dealt to each of three players from a standard deck of 52 cards.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.