multiple-choice test involves 20 questions, with four choices for each answer. a.If you guessed the answers to all questions at random, what mark out of 20 would you expect to get? b.If you know the correct answer to eight of the questions, what is your expected score out of 20?. c. The examiner wishes to correct the bias due to students guessing answers. He/she decides to award a negative mark for incorrect answers (with 1 for a correct answer and 0 for no answer given). What negative mark would ensure that the overall mark out of 20 is a true reflection of the student’s ability?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Topic Video
Question

multiple-choice test involves 20 questions, with four choices for each answer.

a.If you guessed the answers to all questions at random, what mark out of 20 would you expect to get?

b.If you know the correct answer to eight of the questions, what is your expected score out of 20?.

c. The examiner wishes to correct the bias due to students guessing answers. He/she decides to award a negative mark for incorrect answers (with 1 for a correct answer and 0 for no answer given). What negative mark would ensure that the overall mark out of 20 is a true reflection of the student’s ability?

Expert Solution
steps

Step by step

Solved in 4 steps with 5 images

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON