One professor grades homework by randomly choosing 5 out of 12 homework problems to grade. a. How many different groups of 5 problems can be chosen from the 12 problems?   b. Jerry did only 5 problems of one assignment. What is the probability that the problems he did comprised the group that was selected to be graded?

Q: In the United States, 40% of the population has brown eyes.  If 15 people are randomly chosen, what…

A: Given that  n=15, p=40%=0.40 X~Binomial(n=15, p=0.40) X be the number of the population has brown…

Q: A bag of M and Ms contains eight red, 13 blue, two orange, 15 yellow, 14 green, and six brown. What…

A: Given Number of green M&M=14 Number of red M&Ms=8 Number of blue M&Ms=13 Number of…

Q: You took a 5-question multiple choice quiz with 4 choices for each question.  If you guess at random…

A: Given information- A student takes a multiple-choice test that has 5 questions. Each question has…

Q: You ask a friend to think of a number from four to thirteen. What is the probability that his number…

A:

Q: A. For one question, what is the probability that a student will answer it correctly if he has 3…

A: A student is given a test consisting of 15 multiple choice questions, each having 3 possible…

Q: A 7​-question ​multiple-choice quiz has 5 possible answers for each question. Only one of the 5…

A:

Q: What score is expected?

A: Here use binomial distribution

Q: A student takes a 10-question multiple choice exam with three choices for each question and guesses…

A: Givensample size(n)=10p=13                     (since 1 correct choice from 3 choices)Let "x" be the…

Q: There are thirteen female board members and seventeen male board members. How many ways are there…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!. Explanation:…

Q: Maya bought 8 seeds in order to plant a herb garden for her grandma. Of the seeds she bought, 6 were…

A:

Q: You are taking a 10 question multiple-choice test. If each question has four choices and you guess…

A: Given Data Probability of success,p =1/4 =  0.25 Probability of failure,q=(1- 0.25 )=…

Q: Read the following and answer the questions.  Traffic department wants to know if automobile…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: Bonnie and Kelly are part of a group going to a basketball game. The group has two court-side seats,…

A: Given: court-side seats = 2 upper-level seats = 5 seats in general admission = 4 Total seats =…

Q: A middle school has 250 students. Jenny surveys a random sample of 50 students and finds that 15 of…

A: Total number of students in school = 250 Sample taken of 50 students Number of students having maths…

Q: One professor grades homework by randomly choosing 5 out of 12 homework problems to grade. (a) How…

A: Total no. Of homework problem = 12 Total no. Of problem selected = any 5

Q: Pablo randomly picks four marbles from a bag of ten marbles (five red ones, three green ones, and…

A: I am going to calculate the outcomes for a given problem by using the combinatorial formula.

Q: 31 of 48% is what?

A: 31 of 48%

Q: P6. Consider the process of a student showing up for an exam in the wrong classroom and have…

A:

Q: A bag of M&M's has 7 red, 6 green, 8 blue, and 2 yellow M&M's. What is the probability of randomly…

A: A given experiment in which a bag of M&M's contains 7 Red,6 green, 8 blue,2 yellow balls. Now to…

Q: Amy spins a spinner with equal sections numbered 1 through 5 and flips a fair coin. Which statement…

A: The objective of this question is to find the probability of two independent events occurring…

Q: Steve has 12 biscuits in a tin. There are 5 digestive and 7 chocolate biscuits. Steve takes two…

A: Given that, Total number of biscuits = 12 5 digestive biscuits and 7 chocolate biscuits We to find…

Q: In a mathematics competition, there are 10 multiple-choice questions. Each question has one correct…

A: The binomial probability formula is given by:P(X=k)=(nk)⋅pk⋅(1−p)n−kwhere:(nk) is the number of ways…

Q: Read the following and answer the questions.  Traffic department wants to know if automobile…

A: Hi! Thank you for posting the question. Since your question has more than three sub-parts, we have…

Q: Andy flipped a coin once and rolled a six-sided number cube numbered 1 through 6. The list below…

A: Given, flipped a coin once and rolled a six-sided number cube numbered 1 through 6. The possible…

Q: You have a homework assignment that contains 12 questions. Your instructor will grade a set of 5…

A: Given: Total number of questions, n = 12            5 questions would be graded Part 1: The total…

Q: 2. You take a 5 problem multiple choice test with four answers for each problem. Find the…

A: Solution

Q: Jina won a charity raffle. Her prize will be randomly selected from the 9  prizes shown below. The…

A: 4 rings 3 cameras 2 headsets 9 total prizes

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.