A box contains red and green balls. Two balls are randomly selected without replacement. The probability of selecting a red and then a green ball is 0.5. The probability of selecting a red ball in the first pick is 0.5. What is the probability of picking a green ball, given that the first ball picked was red?

Q: The probability that a face card is   ​selected, given that a queen is   selected is

A: Note that queen is a face card itself. So if a queen is selected then we obviously get a face card.…

Q: In a large population, 50 % of the people have been vaccinated. If 3 people are randomly selected,…

A: Givenp=50%=0.50n=3x=noof people get vaccinatedx~Binomial(n=2,p=0.50)P(X=x)=Cxn px (1-p)n-x    ;…

Q: he probability of selecting a bad egg is 0.035 from the lot of 400 eggs. So, what is the number of…

A: Given data, n=400 eggs  probability of selecting a bad egg is p= 0.035 Therefore  probability of…

Q: In a recent survey, 18 people preferred milk, 29 people preferred coffee, and 13 people preferred…

A: Probability of an event is computed by taking the ratio of number of favourable outcomes to total…

Q: A football team has a probability of .75 of winning when playing any of the other four teams in its…

A: Let A, B, C and D be the events of winning with first, second, third and fourth teams respectively.…

Q: In a recent​ survey, it was found that the median income of families in country A was $57,300. What…

A:

Q: The probability that an individual has 20-20 vision is 0.14. In a class of 77 students, what is the…

A:

Q: The faculty of the mathematics department at Joliet JuniorCollege is composed of 4 females and 9…

A: The faculty of the mathematics department at Joliet JuniorCollege is composed of 4 females and 9…

Q: Suppose you roll a six-sided die, with sides numbered 1, 2, 3, 4, 5, and 6, and with each number…

A: a) All possible outcomes= 1, 2, 3, 4, 5, and 6 So total 6 possible outcomes.   The possible outcomes…

Q: Given that a 5 - card poker hand is dealt from a standard deck of 52, find the probability of…

A: Solution: Given : 5 - card poker hand is dealt from a standard deck of 52, Find out the probability…

Q: Suppose that 60% of all consumers favour internet shopping. If 5 consumers are randomly sampled and…

A: We have given that,  X be the random variable from binomial distribution with probability of success…

Q: In a science class of 35 students, 15 are boys and 20 are girls. On a unit test, 5 boys and 8 girls…

A: We will use probability formula to find solution to the problem .

Q: In one​ lottery, a player wins the jackpot by matching all five numbers drawn from white balls​ (1…

A: The player can pick 5 numbers from 42 numbers in 42C5 ways. (white balls) And 1 number from 32…

Q: The probability that a cask contains more than 261 liters of whiskey is If there are 9 casks of…

A: Let X denote the volum of whiskey in a cask. Given that X follows Uniform(a = 258.5, b = 261.5).…

Q: Consider a family with three children. Given that at least one of the children is a boy, whatis the…

A: Solution

Q: A group of people were asked if they owned a dog. 121 responded "yes", and 400 responded "no". Find…

A: According to the provided information, A group of people was asked if they owned a dog. 121…

Q: thirteen percent of adults are left handed. in a group of 30 adults, what is the probability of…

A: Let X=the number of lefty n=number of trials= 30 p=probability of success= 13%=0.13 X follows a…

Q: In a family with 7 children, excluding multiple births, what is the probability of having exactly 1…

A: It is given that there is equal chances of having a boy and a girl. So the probability of having a…

Q: If the probability of having type AB Blood is 0.520, what is the probability that in a group of four…

A: Given: P( having AB blood) = 0.520 n = 4

Q: What is the probability of exactly two of the selected bulbs are rated 75-W? What is the probability…

A:

Q: The probability of component A in a computer assembly being faulty is 3%. The similar probability…

A:

Q: The percentage of the damaged production of a lamp factory is 1000. If a sample of 5 lamps is…

A:

Q: The probability that a student owns a car is 0.65and the probability that a student owns a computer…

A: Given data: The probability that a student owns a car = 0.65 the probability that a student owns a…

Q: A marketing survey indicates that 40% of the population owns an automobile, 45% owns a house, and…

A: Given data:     The percentage of the population owns an automobile is: P(A)=40% The percentage of…

Q: the 195 students in the senior class, 104 study Spanish and 85 study French, with 12 studying both…

A: Given query is to find the Indicated probability.

Q: Of a group of patients having injuries, 28% visit both a physical therapist and a chiropractor and…

A:

Q: In a group of 10 people chosen randomly, what is the probability that three of the ten people have a…

A: Given: Number of trials (n) = 10 Probability of success (p) = 11000000=0.000001 Let X be the number…

Q: The Wilson family had 7 children assuming that the probability of a child being a girl is 0.5, find…

A: Let "X" be the girl child in Wilson family

Q: According to American Airlines, its flight 215 from Orlando to Los Angeles is on time 90% of the…

A: It is given that the 90% of the flights from Orlando to Los Angeles are arrived on time. The 15…

Q: According to the U.S. Census Bureau, the probability that a randomly selected household speaks only…

A: (a)   Obtain the probability that a randomly selected household speaks only English or only Spanish…

Q: In a group of 100 students, 80 study Physics, 90 study Math and 5 study none of the subjects. What…

A: The union of events A and B is defined as n(A ∪ B) = n(A)  + n(B) – n(A ∩ B).

Q: A true-false test has 40 questions.  If a score of 36 (or more) correct is needed for an “A”, what…

A: Given that A true-false test has 40 questions = n = 40 There are equal (50-50) chance of getting…

Q: A group of people were asked if Marilyn Monroe had an affair with JFK. 316 responded "yes", and 366…

A:

Q: A bag of candies has blue,green,yellow, and red candies in it. What is the probability of randomly…

A: Given that a bag of candies has blue, green, yellow and red candies in it. To find the probability…

Q: If a card is chosen at random from a box of playing cards, what is the probability that it is less…

A: Given : Acard is chosen at random from a box of 52 playing cards, and we have tp find probability…

Q: 1. Find the probability that a damaged bag is from supplier A.

A: here define events  cement from supplier A  = A cement from supplier B  = B damage bag arrived  = D…

Q: Andrea did a survey in her statistics class and found that 18 students out of 25 use the library at…

A: Total number of students = 25Number of students uses library atleast twice aweek =18

Q: Out of a sample of 10,000 men, the probability that a man picked at random weighs over 190 pounds is…

A: GivenThe probability that a man picked at random weighs over 190 pounds = 0.25The probability that a…

Q: A basketball player has a 0.52 probability of making a three-point shot. What is the probability…

A: Geometric distribution : A geometric random variable defined as number of trials until the first…

Q: A debating team of size 4 is to be randomly selected from 3 academic staff and 6 students. The…

A: We have to select a team of size 4 from the 3 academic staffs and 6 students and we have to find the…

Q: A school survey found that 9 out of 10 students like pizza. If three students are chosen at random…

A: We have to find given probability..

Q: A six-sided die is weighted so that rolling a two, four, or six is equally likely. In addition,…

A: Given that a weighted six sided die is rolled. Let X be the number rolled on the die. X can take…

Q: In a group of 78 people; 24 drink tea and 31 drink coffee. Find the probability that a person picked…

A: 24 - drink tea 31 - drink coffee total 78 people select at random

Q: What is the probability of a student chosen at random liking both Hannah Montana and suite life of…

A: Given data: The numbers of students who like Waverly place are a=73. The numbers of students who…

Q: The probability that a homeowner owns a Blu-ray player is 0.50. The probability that a homeowner…

A:

Q: With two dice, the probability of rolling a 4 is higher than the probability of rolling an 10 with…

A: Let 'S' be the sample space of rolling two dice together. S={1,1, 1,2, 1,3, 1,4, 1,5, 1,6       2,1,…

Q: In a survey of 1200 college students living in the dorms, 600 said that they had only a tablet in…

A:

Q: According to a study done at Otago University Wellington, the probability a randomly selected…

A: Obtain the probability that at least 3 of the people will not cover their mouth when they sneeze.…

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.