When answering a question on a multiple choice exam, Jon either thinks he knows the answer...

When answering a question on a multiple choice exam, Jon either thinks he knows the answer or just guesses.

Suppose the probability that Jon thinks he knows the answer is 0.75 and there’s a 90% chance that he’ll get the question correct if he thinks he knows the answer. There are 5 choices for each multiple-choice exam question.

Each question is worth 2 marks (no part marks), but blank answers earn 0.4 marks. Suppose Jon always answers the question if he thinks he knows the answer, but if he does not, he guesses the answer (at random) half the time and the other half of the time, he leaves the answer blank.

What is the expected value of Jon’s score on a randomly selected question?

Expert Solution

milcah answered 1 year ago

(This is a multiple choice question, so the answer is either A, B, C, or D.)...

(This is a multiple choice question, so the answer is either A, B, C, or D.) Question: For probability density function of a random variable X, P(X < a) can also be described as: A.) The area under the curve to the right of a. B.) F(a), where F(X) is the cumulative distribution function. C.) The area under the curve between 0 and a. D.) 1- F(a) where F(X) is the cumulative distribution function.

In a multiple choice exam, there are 7 questions and 4 choices for each question (a,...

In a multiple choice exam, there are 7 questions and 4 choices for each question (a, b, c, d). Nancy has not studied for the exam at all and decides to randomly guess the answers. What is the probability that: (please round all answers to four decimal places) a) the first question she gets right is question number 3? b) she gets all of the questions right? c) she gets at least one question right?

Please answer the multiple choice question. Only choose one answer choice. Then write an IRAC answer...

Please answer the multiple choice question. Only choose one answer choice. Then write an IRAC answer about the issue that is being tested. Peter built a small pond in front of his house for his prize koi fish. The pond was visible from the sidewalk. To keep people and animals away, Peter constructed an eight-foot high chain link fence between the sidewalk and the pond. One day, Stewie, a six-year old who lived next door, struggled over the fence to...

Problem 3.An exam has 30 multiple choice questions. Each question has five answer choices, ofwhich exactly...

Problem 3.An exam has 30 multiple choice questions. Each question has five answer choices, ofwhich exactly one is correct. In how many different ways can a student who answers all questionsget at least 27 of them correct?

Ada Nixon, a student, has just begun a 30-question, multiple-choice exam. For each question, there is...

Ada Nixon, a student, has just begun a 30-question, multiple-choice exam. For each question, there is exactly one correct answer out of four possible choices. Unfortunately, Ada hasn't prepared well for this exam and has decided to randomly select an answer choice for each question. (a) (4 points) For a given question, what is the probability Ada picks the correct answer, assuming each answer choice is equally likely to be selected? (b) Assume the number of questions Ada answers correctly...

There are 100 multiple-choice question on exam, each having responses a, b, c, d. Suppose that...

There are 100 multiple-choice question on exam, each having responses a, b, c, d. Suppose that a student has a 70% chance to answer each question correctly, and all the answers are independent. If the student needs to answer at least 40 questions to pass, what is the probability that the student passes? Use normal approximation.

Question) When estimating the dirty price of a bond, you must... Multiple Choice Answers) Please answer...

Question) When estimating the dirty price of a bond, you must... Multiple Choice Answers) Please answer and Explain! a) Take the current price of a bond plus the accrued coupon payment b) Take the current price of a bond plus the current yield. c) Take the current yield plus the coupon payment divided by the quoted price. d) Take the current price of a bond divided by the coupon payment.

There are 3 True or False questions in an exam, if a candidate knows the answer...

There are 3 True or False questions in an exam, if a candidate knows the answer she/he answers it correctly, otherwise, a guess is made and the probability of getting it right is 1/2. An examiner assumes that every candidate knows no answer, 1 answer, 2 answers, 3 answers with equal probabilities, a candidate answered two of the three questions correctly. What is the probability that this candidate knew the answer to only one of them? (A) 1/11. (B) 2/11....

3. .A multiple choice exam was given with 25 questions, each having only one correct answer...

3. .A multiple choice exam was given with 25 questions, each having only one correct answer out of 5 given alternatives. Assuming a student made random guesses for the answers, what is the probability that: a. Exactly 20 questions were answered correctly? b. 15 or fewer were answered right? c. More than 10 were answered correctly? d. Six or more are answered WRONG 4. Suppose your local state game commission has decided to limit the yearly ‘take’ of deer to...

Ann has taken a multiple-choice exam consisting of 25 questions. Each question has 5 choices of...

Ann has taken a multiple-choice exam consisting of 25 questions. Each question has 5 choices of which only one is the correct answer. Ann has correctly answered 9 questions. We would like to test if Ann is doing better than randomly guessing the answer to each question. Define the parameter to be tested. State the alternative hypothesis. _____________ Compute the test statistic. _____________ Compute the p-value. ____________ At the 1% level of significance, state your conclusion.

Question