Sam enrolled in a Calculus course by mistake, and only discov- ered this after the end of classes. He decides to show up to exam anyway. The exam consists of 54 multiple-choice questions, worth 1 mark

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...
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Sam enrolled in a Calculus course by mistake, and only discov- ered this after the end of classes. He decides to show up to exam anyway. The exam consists of 54 multiple-choice questions, worth 1 mark each with possible answers (a), (b), (c), (d), (e), (f ). He has no clue how to answer any of the questions, so fills in answers guessed at random.

(a) What is his mean score? (You must justify your answer to receive credit).

(b) What is the variance of his score?

(c) What (approximately) is the probability that he gets 15 or more questions correct?

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