Multiple-Choice Exams. A student takes a multiple-choice exam with 10 questions, each with four possible selections for the answer. A passing grade is 60% or better. Suppose that the student was unable to find time to study for the exam and just guesses at each question. Find the probability that the student a. gets at least one question correct.b. passes the exam.c. receives an “A” on the exam (90% or better).d. How many questions would you expect the student to get correct?e. Obtain the standard deviation of the number of questions that the student gets correct.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter6: Ratio, Proportion, And Probability
Section6.8: The Multiplication Principle
Problem 18E
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Multiple-Choice Exams. A student takes a multiple-choice exam with 10 questions, each with four possible selections for the answer. A passing grade is 60% or better. Suppose that the student was unable to find time to study for the exam and just guesses at each question. Find the probability that the student

a. gets at least one question correct.
b. passes the exam.
c. receives an “A” on the exam (90% or better).
d. How many questions would you expect the student to get correct?
e. Obtain the standard deviation of the number of questions that the student gets correct.

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