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Concept explainers
Standard Tests Standard tests, such as the SAT or ACT or MCAT, tend to make extensive use of multiple-choice questions because they are easy to grade using software. If one such multiple choice question has possible correct answers of a, b, c, d, e, what is the
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To obtain: The probability of selecting a wrong answer if the answer is a random guess.
Answer to Problem 1CQQ
The probability of selecting a wrong answer if the answer is a random guess is 0.8.
Explanation of Solution
Given info:
From the given information, ‘Standard tests’ uses multiple choice questions as it can be graded using a software. In a multiple-choice question, possible correct answers are ‘a, b, c, d, e’ .
Calculation:
Let event A denote the randomly selected answer is a correct answer.
The formula for probability of event A is,
Substitute 1 for ‘Number of ways of event A occurs’ and 5 for ‘Number of simple events’
The formula for probability of complement of event A is,
Substitute 0.2 for
Thus, the probability of selecting a wrong answer, if the answer is a random guess is 0.8.
Interpretation:
There is a 0.8 probability of selecting a wrong answer if the answer is a random guess.
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Chapter 4 Solutions
Elementary Statistics Using The Ti-83/84 Plus Calculator, Books A La Carte Edition (5th Edition)
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