a. b. Assume the online test in HA1011 has 15 multiple questions. Each question has five...

a.

b.

Assume the online test in HA1011 has 15 multiple questions. Each question has five possible answers, of which only one is correct.

What is the probability that guesswork will yield at least seven correct answers?
What is the expected number of correct answers by guesswork?

At Delta limited the Chief Administrative Manager analyzed the number of incoming faxes. After an analysis, the manager determined the probability distribution of the number of pages per fax as follows:

x	1	2	3	4	5	6	7
P(x)	0.05	0.12	0.2	0.3	0.15	0.1	0.08

Required:
Compute the mean and the variance of the number of pages per fax.

Expert Solution

ekkarill92 answered 2 years ago

2. A student is taking a multiple-choice test in which each question has five choices. Assume...

2. A student is taking a multiple-choice test in which each question has five choices. Assume that the student has no knowledge of the correct answers to any of the questions. She has decided on a strategy in which she will place five balls (marked A, B, C, D and E) into a box. She randomly selected one ball for each question and replaces the ball in the box. The marking on the will determine her answer to the question....

A multiple-choice examination consists of 20 questions. Each question has five choices, labeled A, B, C,...

A multiple-choice examination consists of 20 questions. Each question has five choices, labeled A, B, C, D and E. All data for that exam is stored in a file exam.txt. The first line of data contains the correct answers to the twenty questions in the first 20 consecutive (one after the other) character positions. For Example: BECDCBAADEBACBEDDBED Each subsequent line in the file contains the answers for a single candidate. Data on a line consists of a candidate number (an...

A standardized test consists of 100 multiple-choice questions. Each question has five possible answers, only one...

A standardized test consists of 100 multiple-choice questions. Each question has five possible answers, only one of which is correct. Four points are awarded for each correct answer. To discourage guessing, one point is taken away for every answer that is not correct (this includes answers that are missing). The company that creates the test has to understand how well a student could do just by random guessing. Suppose a student answers each question by picking one of the five...

On a multiple choice test with 18 questions, each question has four possible answers, one of...

On a multiple choice test with 18 questions, each question has four possible answers, one of which is correct. For students who guess at all answers, find the variance for the number of correct answers.

A multiple-choice test has 6 questions. There are 4 choices for each question. A student who...

A multiple-choice test has 6 questions. There are 4 choices for each question. A student who has not studied for the test decides to answer all questions randomly with a Probability of success = p =.25. Let X represent the number of correct answers out of six questions. (i) Use binomial distribution to complete the table (ii) Find the probability that the student will be successful in at least 4 questions. (iii) Find the probability that the student will be...

Expected value (statistics) Suppose there is a multiple choice test of 34 questions, each question has...

Expected value (statistics) Suppose there is a multiple choice test of 34 questions, each question has 6 options to answer (so p=1/6, only 1 answer is correct). If we assume that 19/34 of the questions should be correct to pass, then how many students is expected to pass if the population is 200?

Part 1: Probability 1. A question on a multiple-choice test has 10 questions each with 4...

Part 1: Probability 1. A question on a multiple-choice test has 10 questions each with 4 possible answers (a,b,c,d). What is the probability that you guess all the answers to the 10 questions correctly (earn 100%)? 2. If you ask three strangers about their birthdays, what is the probability a. All were born on Wednesday? b. What is the probability that all three were born in the same month? c. All were born on different days of the week? d....

A multiple choice test consists of 60 questions. Each question has 4 possible answers of which...

A multiple choice test consists of 60 questions. Each question has 4 possible answers of which one is correct. If all answers are random guess, estimate the probability of getting at least 20% correct.

An SAT test has 8 questions, each question having 5 multiple choice answers. If a student...

An SAT test has 8 questions, each question having 5 multiple choice answers. If a student make random guesses for each answer, find the probability that: a)the number of correct answers is 7. b)the number of correct answers is at least 4. c)the number of correct answers is fewer than 3.

Consider a multiple-choice examination with 50 questions. Each question has four possible answers. Assume that a...

Consider a multiple-choice examination with 50 questions. Each question has four possible answers. Assume that a student who has done the homework and attended lectures has a 65% chance of answering any question correctly. (Round your answers to two decimal places.) (a)A student must answer 44 or more questions correctly to obtain a grade of A. What percentage of the students who have done their homework and attended lectures will obtain a grade of A on this multiple-choice examination? Use...

Question