In a multiple-choice quiz, each question has 4 answer choices, and a student randomly guess on each question. If the quiz has 8 questions, let X be the number of correct answers. (a) Write the PMF of X. (b) Compute P(X = 3). (c) What is the probability that the student gets at least 6 of the question correct? 2

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.22P
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In a multiple-choice quiz, each question has 4 answer choices, and a student randomly guess on
each question. If the quiz has 8 questions, let X be the number of correct answers.
(a) Write the PMF of X.
(b) Compute P(X = 3).
(c) What is the probability that the student gets at least 6 of the question correct?
2
Transcribed Image Text:In a multiple-choice quiz, each question has 4 answer choices, and a student randomly guess on each question. If the quiz has 8 questions, let X be the number of correct answers. (a) Write the PMF of X. (b) Compute P(X = 3). (c) What is the probability that the student gets at least 6 of the question correct? 2
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