A multiple-choice test consists of 15 questions, each permitting a choice of three alternatives. In how many dif-ferent ways can a student check off her answers to these questions?

Q: A test has 10 multiple choice questions, and each question has 5 possible answers. How many answers…

A: Given: Number of questions, n=10 Each question has 5 possible answers.

Q: When taking a 20 question multiple choice test, where each question has 5 possible answers, it would…

A: We have n = number of multiple choice questions = 20 p = probability of question correct = 0.20 So…

Q: A poll was taken of 208 students at a commuter campus to find out how they got to campus. How many…

A:

Q: Suppose a test consists of 10-multiple choice questions and each question has four choices. (i)…

A: We have to find correct answer for given question..

Q: After grading the take-home assignments, Mr. Montes randomly selects 5 take-home assignments to…

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

Q: 2. To score at least 60%, a student has 90 ways to answer a 5-item multiple- choice quiz, each…

A:

Q: A poll was taken of 100 students as a commuter campus to find out how they got to campus. The…

A: First we'll arrange the given information in a Venn diagram and then find required answer

Q: Using the pigeonhole principle: In a 20-item quiz, at least how many of the 35 students can have…

A: The pigeonhole principle is used in the condition when there are n items that are to be allotted to…

Q: Assuming that no questions are left​ unanswered, in how many ways can a five​-question quiz with 4 -…

A: In this case, the problem is based on simple permutation, nr. Where n is the number of objects (the…

Q: Suppose a multiple choice test contains 40 questions. If each question has 5 answer choices only one…

A: Let us denote X=the number of questions to be answered correctly by guessing p=probability of…

Q: 1. In how many ways can a multiple choice test that consists of 5 questions, with four options to…

A: Given that Total number of questions = 5Each question has 4 options to choose theanswer

Q: How many used none of the above-mentioned means of transportation?

A: Total no of students taken poll -100 We have to find students used none of above transportation.…

Q: A high school principal wanted to know  how the teachers at her school felt about early dismissal…

A: A high school principal wanted to know  how the teachers at her school felt about early dismissal…

Q: When taking a 7 question multiple choice test, where each question has 5 possible answers, it would…

A:

Q: A paper bag contains three green,four brown and five yellow beads. To win a game, Zoe needs to draw…

A: Given, a paper bag contains 3 green, 4 brown and 5 yellow beads. so we have a total of 12 beads…

Q: In a recent market survey, five different soft drinks were tested to determine if consumers have a…

A: Given: K=5 Hypothesis: Null hypothesis: H0: There is no preference for any of these soft…

Q: A group of students was surveyed to find out their preferred dish, the following information was…

A:

Q: In survey about movie preferences, a total of 82 students turned in their survey forms. The result…

A: It is a simple arithmetic problem where I used Venn - Diagram to solve it.

Q: When taking a 18 question multiple choice test, where each question has 5 possible answers, it would…

A: We have to find unusual number of success.

Q: When taking a 17 question multiple choice test, where each question has 5 possible answers, it would…

A:

Q: Problem solving: Vale conducted a study to determine the preference of students during online…

A: Given problem is: Vale conducted a study to determine the preference of students during online…

Q: A section of an exam contains two multiple-choice questions, each with three answer choices (listed…

A: Given:  In an exam there are two multiple choice questions each having three options "A", "B" and…

Q: in a math test , 368 students from a scool took a  test , the scores   are 5,10,18,26 and 31 . find…

A: First calculate mean and standard deviation of the sample scores .  The sample size is n=5. The…

Q: A poll was taken of 100 students at a commuter campus to find out how they got to campus. The…

A:

Q: Among the 16 used cars in Harry's lot, five have four-wheel drive. If three cars are randomly chosen…

A:

Q: In how many ways can an examinee check off one answer to each question and get all the answers…

A:

Q: A pair of dice is rolled, and the number that appears uttermost on each day is observed. One shows a…

A: The all-possible outcomes for tossing a pair of dice is defined as follows: Sample space = {(1,1),…

Q: high school principal wanted to know how the teachers at her school felt about early dismissal for…

A:

Q: The city of Raleigh has 9100 registered voters. There are two candidates for city council in an…

A: The city of Raleigh has 9100 registered voters. There are two candidates for city council in an…

Q: As discussed in class, which of the three categories of bias (selection, response, non-response) is…

A: A bias is the conscious or unconscious favoring of one group or outcome over other probable groups…

Q: 4. A gourmet coffee bar conducted a survey to determine the preferences of its customers. Of the…

A: Let the choice of espresso be represented by the set E. Let the choice of cappuccino be represented…

Q: 34. A multiple-choice test consists of 15 questions, each permitting a choice of three alternatives.…

A:

Q: On a 20 question multiple choice test, if there are 5 possible responses for each question and you…

A: Number of questions (n) = 20 There are 5 possible responses for each question, out of which only…

Q: Select the correct response. For a research study, there are five options for the first question,…

A:

Q: A poll was taken of 100 students at a commuter campus to find out how they got to campus. The…

A:

Q: 28   said they drove alone. 32   rode in a carpool. 38   rode public transportation. 6   used both…

A: Consider, A=drove aloneB=CarpoolC=Public transportation From the given information, we have…

Q: Use the results of this opinion poll to estimate, with 95% confidence, the actual percentage of…

A: The principal at Tahoe Elementary School randomly selected three of the school's twelve classes of…

Q: Mrs. Krabappel writes a multiple-choice test with twenty questions, each of which has five choices…

A: Probability of selecting correct choice = p = 1/5  Total question = n = 20

Q: When taking a 6 question multiple choice test, where each question has 5 possible answers, it would…

A: Given, In the multiple-choice test having 6 questions and each questions having 5 possible answers…

Q: When taking a 16 question multiple choice test, where each question has 5 possible answers, it would…

A: Given : Number of sample = n = 16 Probability of correct answer = 1/5 = 0.20

Q: When taking a 11 question multiple choice test, where each question has 3 possible answers, it would…

A: Given that there are 11 multiple choice question. Each question has 3 possible answers.

Q: Find the total number of possible outcomes in the following sample space (your answer should be a…

A:

Q: There are 20 questions on a multiple choice exam, each with four possible answers. Which of the…

A: Option B is correct option.

Q: A 10-item multiple choice test has 3 choices for each question. In how many ways can the test be…

A: Given that all questions have 3 choices.   There are total 10 questions.

Q: Forty-eight percent of all California registered voters prefer life in prison without parole over…

A: The given probabilities can be written as P(C) = 0.48 P(L) = 0.376

Q: When taking a 20 question multiple choice test, where each question has 3 possible answers, it would…

A: It is given that n =20 and p=1/3.

Q: P(PCC student opposes a tax cut given the student is Republican)

A: The condition probability formula is, PA|B=PA∩BPB A sample of 110 PCC students out of which there…

Q: Assuming that no questions are left​ unanswered, in how many ways can a six​-question quiz with…

A: Given: In a quiz there are six question each have 4 choices.if no question are left unanswered.…

Q: When taking a 18-question multiple-choice test, where each question has 4 possible answers, it would…

A: Givenn=18p=14let x=no. of correct answersx~Binomial(n=18,p=14)P(X=x)=Cxn Px (1-p)n-x ; x=0,1,2....n

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.