There are ten teaching assistants for Structural Analysis I. The first exam consists of four questions,...
There are ten teaching assistants for Structural Analysis I. The first exam consists of four questions, and the professor wishes to select a different assistant to grade each question (only one question per assistant). In how many ways can the assistants be chosen to grade the exam?
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There are ten teaching assistants for Structural Analysis I. The
first exam consists of four questions,...
An exam is graded by one of two teaching assistants, chosen with equal likelihood (by flipping...
An exam is graded by one of two teaching assistants, chosen with equal likelihood (by flipping a fair coin_. The first teaching assistant ("Alice") gives every exam an A; the second teaching assistant ("Bob") gives every exams a randomly chosen letter grade (A,B,C,D,F) all with equal likelihood. If a student's exam is graded as an A, what is the probability that it was graded by teaching assistant Alice?
4. An exam paper consists of ten multiple choice questions, each offering four choices of which...
4. An exam paper consists of ten multiple choice questions, each offering four choices of which only one is correct. If a candidate chooses his answers I completely at random, what is the probability that (i) he gets at least 8 questions right, (ii) the last of the ten questions is the eighth one he gets right, (ii) in six such exams, he gets at least 8 questions right in at most one exam?
A questionnaire consists of four multiple choice questions. Participants can only select one answer for each...
A questionnaire consists of four multiple choice questions. Participants can only select one answer for each question. The first question has 5 choices, the second has 4 choices, the third has 6 choices, and the fourth has 5 choices. What is the total number of different ways in which this questionnaire could be completed? Show your calculations.
Problem 4 Midterm exam consists of three questions. There are four possible answers on each question,...
Problem 4 Midterm exam consists of three questions. There are four possible answers on each question, and of course only one of them is correct. Find distribution, expectation and variance of the number of correct answers with simple guessing.
A standard card deck consists of 52 cards, divided into four groups of 13 cards (called...
A standard card deck consists of 52 cards, divided into four groups of 13 cards (called suits: clubs (♣), diamonds (♦), hearts (♥) and spades (♠)). In each suit, the cards have 13 different "faces": A,2,3,4,5,6,7,8,9,10, J, Q, K. (a) in how many ways can I select five cards from the deck? (b) in how many ways can I select five cards from the deck, if all cards must belong to the same suit? (c) in how many ways can...
A simple survey consists of three multiple choice questions. The first question has 5 possible answers,...
A simple survey consists of three multiple choice questions. The first question has 5 possible answers, the second has 3 possible answers and the third has 4 possible answers. In how many different ways can you complete this survey? use counting rule method
1) A: List all possible outcomes (the sample space) for the tree diagram below B: Calculate...
1) A: List all possible outcomes (the sample space) for the tree diagram below B: Calculate the number of all possible outcomes: bb 2) Based on the tree diagram below, how many ways can a coin be tossed four times and get exactly 3 tails? Hнн HHT HHHH HHHT HHTH H HTT HTHH HTHT HTTH HTTT THH T THT TTHS THHH THHT THTH THTT TTHH ΤΤΗΤ ΤΤΤΗ ΤΤΤΤ ΤΤΤ 3) How many 12-letter "words" (real or made-up) can be made...
Consider a multiple choice exam of 20 questions. Suppose each question has four choices and only...
Consider a multiple choice exam of 20 questions. Suppose each question has four choices and only one of them is correct. If a student is going to guess answers, what is the probability that he answers i.) all questions correctly? ii.)more than 10 questions correctly? iii.)more than 5 and less than 10 correctly? iv.) How many Questions do you expect him to answer correctly?
Suppose you are taking an exam that only includes multiple choice questions. Each question has four...
Suppose you are taking an exam that only includes multiple choice questions. Each question has four possible choices and only one of them is correct answer per question. Questions are not related to the material you know, so you guess the answer randomly in the order of questions written and independently. The probability that you will answer at most one correct answer among five questions is ?
4. (30 points) A statistics exam has five easy questions and three hard questions. You have...
4. (30 points) A statistics exam has five easy questions and three hard questions. You have six friends who are in the class, five are moderately prepared and one is very prepared. Probability Easy Questions Correct 80% Chance 95% Probability Hard Questions Correct 66.666% (two-thirds) 5 Moderately Prepared Friends 1 Very Prepared Friend 80% The probability of answering any one question correctly is completely independent of the probability of answering any other question correctly for every student. (a) What is...
4. An exam paper consists of ten multiple choice questions, each offering four choices of which only one is correct. If a candidate chooses his answers I completely at random, what is the probability that (i) he gets at least 8 questions right, (ii) the last of the ten questions is the eighth one he gets right, (ii) in six such exams, he gets at least 8 questions right in at most one exam?
Problem 4 Midterm exam consists of three questions. There are four possible answers on each question, and of course only one of them is correct. Find distribution, expectation and variance of the number of correct answers with simple guessing.
1) A: List all possible outcomes (the sample space) for the tree diagram below B: Calculate the number of all possible outcomes: bb 2) Based on the tree diagram below, how many ways can a coin be tossed four times and get exactly 3 tails? Hнн HHT HHHH HHHT HHTH H HTT HTHH HTHT HTTH HTTT THH T THT TTHS THHH THHT THTH THTT TTHH ΤΤΗΤ ΤΤΤΗ ΤΤΤΤ ΤΤΤ 3) How many 12-letter "words" (real or made-up) can be made...
4. (30 points) A statistics exam has five easy questions and three hard questions. You have six friends who are in the class, five are moderately prepared and one is very prepared. Probability Easy Questions Correct 80% Chance 95% Probability Hard Questions Correct 66.666% (two-thirds) 5 Moderately Prepared Friends 1 Very Prepared Friend 80% The probability of answering any one question correctly is completely independent of the probability of answering any other question correctly for every student. (a) What is...
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