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Question
2Page
221, Problem
25 Text:
David Lane
You are to participate
in an exam for which you had no chance to study, and for that reason cannot do
anything but guess for each question (all questions being of the multiple
choice type, so the chance of guessing the correct answer for each question is
1/d, d being the number of options (distractors) per question; so in case of a
4-choice question, your guess chance is 0.25).
Your instructor offers
you the opportunity to choose amongst the following exam formats:
i. 6 questions
of the 4-choice type; you pass when 5 or more answers are correct;
II. 5
questions of the 5-choice type; you pass when 4 or more answers are
correct;
III. 4
questions of the 10-choice type; you pass when 3 or more answers are correct.
Rank the three exam
formats according to their attractiveness. It should be clear that the format
with the highest probability to pass is the most attractive format.
a. What
format provides you with the best opportunity for obtaining a passing grade?
I or II or
III
b.
What is your probability of passing the exam with best format?
Enter
answer as a decimal rounded to 4 places without the leading 0 or as a percent
rounded to 2 decimal places and no % sign.
