Three bowls have 1 white 2 black balls; 2 white 1 black balls and 2 white 2 black balls respectively. One of the bowl is selected at random and a ball is drawn from it. It turns out to be white. What is the probability that bowl C was chosen?

Q: In a certain college, 33% of the physics majors belong to ethnic minorities. If 10 students are…

A: Given Data: The probability that the student belongs to ethnic minorities is: p=33%=0.33 The total…

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: In a college, there are 25 students who enrolled for commerce only, 105 students enrolled for…

A: Given: Number of Students enrolled for commerce, n(C) = 25           Number of Students enrolled for…

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

A:

Q: The junior class has 50 students. Twenty-five students take French, 15 take Latin, and 10 take both.…

A: The union probability for any two events A and B is defined as P(A or B) = P(A)  + P(B) – P(A and…

Q: A 3​-card hand is dealt from a standard​ 52-card deck, and then one of the 3 cards is chosen at…

A: Given : n = number of cards in the  hand = 3 x= number heart card in the hand = 1

Q: In a certain residential suburb, 60% of all households get Internet service from thelocal cable…

A: Given data: The given percentage of the users who get internet service is P(A)=60%=0.60. The given…

Q: A bag contains 200 balls that are either red or blue and either dull or shiny. There are 45 shiny…

A: There are totally 200 balls that are either red or blue and either dull or shiny in which there are…

Q: A bag of 40 marbles contains 17 marbles with red on them, 13 with blue on them 15 with green on…

A:

Q: At a local CVS pharmacy, 85% of the customers have a CVS card. In a random sample of 5 customers,…

A: The provided information is: Probability of a Customer would have CVS card (p)=0.85 Consider that X…

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: 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: In a class of 40 students, 22 students like mathematics, 20 students like science, and 8 students…

A:

Q: There are 3 urns as follows: Ballot box A contains 3 red balls and 5 white balls. Ballot box B…

A: Obtain the probability that the ball randomly drawn is red. The probability that the ball randomly…

Q: 2. A Engineering team has 120 members, of whom 44 are Electrical Engineers, 30 are Mechanical…

A: sample size = 120 Let E: Electrical engineers      M: Mechanical engineers PE: 44120=0.367PM:…

Q: A 2​-card hand is dealt from a standard​ 52-card deck, and then one of the 2 cards is chosen at…

A: Total cards = 52 Total diamond card= 13 One card is selected and which is diamond. Thus, Total…

Q: From a group of 100 male students in a small city college, 60 play basketball, 50 play volleyball…

A:

Q: Box A contains 5 black marbles and 4 white marbles, and Box B contains 3 black marbles and 2 white…

A:

Q: A company has 140 employees of which 30 are supervisors. Eighty of the employees are married and 20…

A: Given data, P(Married)= 80/140 = 0.5714 P(Supervisor | Married)= 0.20 P(Married and supervisor)=?

Q: For a departmental inquiry committee, an employer randomly selects a sample of three employees from…

A: The following information is available in the question Total number of employees = 10 Number of…

Q: In a company of 400 employees,250 use a computer and 100 use a telephone as part of their work. The…

A:

Q: A player is dealt two cards from a 36-card deck, where half the cards are black and the other half…

A: Given information: Total number of cards in the deck is n(S) = 36. The number of red cards in the…

Q: A new credit card has been issued to 2000 customers. Of these customers, 1500 hold a Visa, 500 hold…

A: Here, the total number of customers is 2000. Number of customers who hold Visa is 1500 Number of…

Q: four coins, of which 3 are fair coins and the third is a fake coin that has “heads” onboth sides.…

A: From the given information we find the probability.

Q: A class consists of 40 psychology majors, 30 criminal justice majors, and 30 nursing majors.  If one…

A: Given, A=Psychology major n(A)=40 B=Criminal justice major n(B)=30 C=Nursing major n(C)=30

Q: Students at University X must be in one of the following class ranks: freshman, sophomore, junior,…

A: 35% of the students are freshman and 30% are sophomores.

Q: A jar holds 20 cookies, 15 are chocolate-chip cookies, and 5 are brussel-spout-with-turnip-chips…

A: We have to find given probability.

Q: A box of nine golf gloves contains two left-handed and seven right-handed gloves : (i) If two gloves…

A:

Q: Box A contains 8 items of which 3 are defective, and box B contains 5 items of which 2 are…

A: Solution To find the probability we will use conditional probability formula and total probability…

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: For a certain​ candy, 1010​% of the pieces are​ yellow, 2020​% are​ red, 55​% are​ blue, 1515​% are​…

A: Given Information- Percentage of Yellow candy = 10% Percentage of Red candy = 20% Percentage of Blue…

Q: A bag contains 66 whitewhite marbles, 33 greengreen marbles, and 77 redred marbles. If a marble is…

A:

Q: class contains 30 students, Ten are Female (F) and Caviteno (C), 12 are male (M) and Caviteno; 6 are…

A: F denote Female M denote Male C denote Caviteno Total number of students = 30…

Q: Two balls are chosen randomly from an urn containing 8 white, 4 black, and 2 orange balls to see if…

A: Probability is a branch of mathematics or statistics which basically deals with the chances of…

Q: From a sack of fruit containing 10 oranges, 4 apples, and 6 bananas, a random sample of 8 pieces of…

A:

Q: A lot contains twenty missiles, two are selected at random and fired without replacing the first. If…

A: Given information: Let X be the number of missiles that are defective. X follows hyper-geometric…

Q: A girl has five die, two of which are four-faced, one is eight-faced and two are six-faced, all…

A: two are four faced so number of faces is 8 of which there are two 3s one is eight faced so number of…

Q: Are gender and level of education of employees in this corporation statistically independent? e.…

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:

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

A: Obtain the probability that the fourth student selected will be a male.   The probability that the…

Q: In a math class of 30 students, 17 are boys and 13 are girls. On a unit test, 4 boys and 5 girls…

A: Probability is the chance of occurrence of each observation can involve in the sample with equal…

Q: In a large corporation, 80% of the employees are men and 20% are women. The highest levels of…

A: Probability is a branch of mathematics or statistics which basically deals with the chances or…

Q: A pack of 20 flash drives contains 3 defectives.  If 3 items are drawn without replacement, find the…

A:

Q: 4. If one ball each is drawn from 3 boxes, the first containing 3 red, 2 yellow, and 1 blue, the…

A: Given : Total number of boxes =3 In 1st box 3 red, 2 yellow, 1 blue   In 2nd box 2 red, 2 yellow, 2…

Q: A jar holds 20 cookies, 15 are chocolate-chip cookies, and 5 are brussel-spout-with-turnip-chips…

A:

Q: A snack-size bag of M&Ms candies is opened. Inside, there are 12 red candies, 12 blue, 7 green, 13…

A: Three candy are taken from a bag. Concept Used: Formula used to find the probability is As given…

Q: A Psychology class consists of 14 males and 36 females. If a random sample of n =3 students are…

A: Given that there are 14 males and 36 females. Given that n=3.

Q: A high school class consists of 6 seniors, 10 juniors, 11 sophomores, and 5 freshmen. Exactly 2 of…

A: From the given problem, we have:6 seniors, 10 juniors, 11 sophomores, and 5 freshmenTotal number of…

Q: local bookstore display contains 25 books, 10 of which are standalone novels and 15 of which are…

A:

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.