A professor grades homework by randomly choosing 6 out of 12 homework problems to grade. (a) How many different groups of 6 problems are there from the 12 problems? (b) Dana did only 6problems of one assignment. What is the probability that the problems she did comprised the group that was selected to be graded.

Q: A quick quiz consists of 55 multiple choice problems, each of which has 44 answers, only one of…

A: We know : A quick quiz consists of 55 multiple choice problems, each of which has 44 answers, only…

Q: If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the…

A:

Q: ging from recent experience, 5% of the computer keyboards produced by an automatic, high-speed…

A:

Q: In the game of tic tac toe, if all moves are performed randomly the probability that the game will…

A: Solution: Let X be the random variable that the game of tic tac toe will end in a draw. The…

Q: What is the probability that a randomly selected person from this city owns a pager, given that the…

A:

Q: In a drawer, there are 12 pairs of socks, 8 of which are white. If you randomly select two pairs of…

A: GivenTotal no. of pair of socks=12No.of white pair of socks=8

Q: 7. A student is taking a multiple-choice exam in which each question has four possible answers. She…

A: Note: Hi! Thank you for the question. As you have posted multiple independent questions, as per our…

Q: If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the…

A: In a deck of 52 cards there are 13 clubs. This means (52-13)=39 cards are not club.

Q: Teo has a combination of quarters, loonies, and toonies in his pocket. He knows he has 9 coins in…

A:

Q: An automaker is concerned about the possible recall of its best-selling four-door sedan. If there is…

A: Let, B denotes the event that the defect is on brake system. T denotes the event that the defect is…

Q: Suppose that there are four companies competing for five different government contracts. If the…

A: Introduction:The probability of an event in an experiment is the number of outcomes favorable to the…

Q: 33. On a game show, a contestant can select one of four boxes. Box 1 contains one $100 bill and nine…

A: Define the events, A : Box 1 is chosen B : Box 2 is chosen C : Box 3 is chosen D : Box 4 is chosen X…

Q: Q6. A package of parts contains 10 parts firom supplier I and 20 parts from a supplier II. If four…

A:

Q: A manufacturer produces switches and experiences that 2% switches are defective. The probability…

A: Given: p(defective switches) = 0.02 n = 60

Q: 4. Tom has a dollar's worth of dimes and a dollar's worth of nickels in his pocket. a. What is the…

A: 1 dollar has total of 10 dimes and  1 dollar has total of 20 nickels Probability = event in…

Q: Randa is playing a board game. The players take turns rolling a pair of number cubes. On her next…

A:

Q: A teacher of a class of 25 students is trying to decide whether her class will play soccer, or…

A:

Q: Q2:- A bowl contains three M&Ms, one red, one blue and one green. A child selects three M&Ms at…

A: Given : Bowl contains 3 M&M's Number of red=1 Number of blue =1 Number of green =1

Q: In the collaboration problem about the mathematician that carries chalk in her pockets, suppose her…

A: Since the number of chalks in each pocket are different, we will break the problem in two cases. One…

Q: Q4- On a multiple-choice exam with 5 possible answers (one of them is correct) for each of the 8…

A: Given,P(correct) p=15P(incorrect) q=1-15=45Total no of quesstions n=8P(X≥7)=?

Q: 23: A professor grades homework by randomly choosing 6 out of 12 homework problems to grade. (a) How…

A: It is given a professor  grades homework by randomly choosing 6 out of 12 homework problems to grade

Q: Of all the lightbulbs manufactured at a certain factory, 95% of the lightbulbs work and 5% are…

A:

Q: 20. Raquel buys a bag of cookies that contains 6 chocolate chip cookies, 6 peanut butter cookies, 6…

A: Given : Raquel buys a bag of cookies that contains 6 chocolate chip cookies, 6 peanut butter…

Q: A closet contains n pairs of shoes. If 2r shoes are chosen at random (2r<n), what is the probability…

A:

Q: In horse​ racing, a trifecta is a race in which you must pick the​ first-, second-, and​ third-place…

A: A trifecta is a race in which you must pick the​ first-, second-, and​ third-place winners in their…

Q: In a class of 10 students there are 4 boys and 6 girls. If a committee of 3 students is selected…

A:

Q: In a recent survey, 60% of the community favored building a health center in their neighborhood. If…

A: Given that,60% of the community favored building a health center in their neighborhood.Probability,…

Q: The director of a film festival received 7 submissions, 5 of which were romantic comedies. If the…

A:

Q: For a marketing analysis, you want to ask 125 people how they like the colours red, green, and blue.…

A: Solution: Total number of people = 125 Let A be the event that people like red colours  n(A)= 55 B…

Q: An aquarium at a pet store contains guppies (25 females and 8 males) and 36 tetras (14 females and…

A: Given data is shown in the table   female male total guppies 25 8 33 tetras…

Q: In the Math Club, 6 of the 22 girts are seniors, and 6 of the 19 boys are seniors, What is the…

A:

Q: If one student is randomly chosen from the group, what is the probability that the student chose…

A: Given   Homework  Housework Outside employment  Recreation  other Total Male 29 15 20 23 9 96…

Q: (Q5)/(A) If you know that 75% of the students in a college are males, and a random sample of 30…

A:

Q: 4. Of the 125 million households in the U.S., 86 million of them have a pet. If you randomly survey…

A:

Q: At a certain university, 5% of men are over 6 feet tall and  2% of women are over 6 feet tall.  The…

A: Given that: At a certain university, 5% of men are over 6 feet tall and 2% of women are over 6 feet…

Q: In a small private school, 4 students are randomly selected from 14 available students What is the…

A: The following information has been given: The total number of students n=14 The number of selected…

Q: -plications in Our World On one large campus, 18% of students surveyed said that they spend less…

A: Obtain the probability that all three spend less than an hour a night studying.   The probability…

Q: A child is playing with number blocks. She has nine blocks, numbered 1 through 9. a) If she selects…

A: a) She can select 1,2,3 in only one way.  She can select any 3 blocks from 9 blocks in 9C3=84 ways…

Q: If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the…

A: There are 52 cards in a deck of cards. Among them 13 cards are diamond.We can pick any card in…

Q: i Min and her mother are playing a board game. The spinner has four equal sections with a different…

A: Given, Colors are red,green,yellow,purple. Total no of colors=4 P(color is purple)=?

Q: Example 8: A nationwide survey found that 72% of people in the United States like pizza. If 3 people…

A: Proportion of  pizza liked by US people= 72% This Implies that probability of pizza liked by US…

Q: members be selected as president, vice-president, and secretary from a group of 15? Hint: order

A: Formula : Combination formula : Permutation formula :

Q: On the last day of a Shakespeare class, an english teacher asked her student which play they liked…

A: Given that out of the 12 students, 2 liked Romeo and Juliet best. P(Romeo and Juliet best)=2/12=1/6…

Q: Q4- On a multiple-choice exam with 5 possible answers (one of them is correct) for each of the 7…

A:

Q: Twenty-five

A: We will find the probability.

Q: you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability…

A:

Q: Q2/ An urn contains 5 red, 6 blue, and 8 green balls. If a set of 3 balls is randomly selected, what…

A: It is given that Number of red balls = 5 Number of blue balls = 6 Number of green balls = 8 Total =…

Q: If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the…

A: Step:- 1 Number of card of 4 =4 Number of card of 9 =4 Number of card of 4 and 9 =4+4=8 that is,…

Q: a large population, 60 % of the people have been vaccinated. If 4 people are randomly selected, what…

A: Given data, n=4 p=60% =0.60 P(X&gt;=1)=?

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.