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Vitor is going to guess on all questions of his multiple-choice test. Each question on the test has answer options.Complete the following statement with the best prediction.Vitor will correctly answer...Choose answer:(A) Exactly questions(B) Close to questions but probably not exactly questions(C) Exactly questions(D) Close to questions but probably not exactly questions
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Q. Vitor is going to guess on all questions of his multiple-choice test. Each question on the test has answer options.Complete the following statement with the best prediction.Vitor will correctly answer...Choose answer:(A) Exactly questions(B) Close to questions but probably not exactly questions(C) Exactly questions(D) Close to questions but probably not exactly questions
- Probability Calculation: Since Vitor is guessing on a multiple-choice test with answer options for each question, the probability of guessing any one question correctly is out of .
- Expected Number Calculation: To find the expected number of questions Vitor will correctly answer, we multiply the total number of questions by the probability of getting any one question right.Expected number of correct answers =
- Calculation Result: Calculating the expected number of correct answers:Expected number of correct answers = Expected number of correct answers = Expected number of correct answers =
- Interpretation: The expected number of correct answers is . However, this does not mean Vitor will answer exactly questions correctly. It means that on average, if Vitor were to take many tests under the same conditions, he would average correct answers per test.
- Variability Explanation: Since the expected value is an average, it is more likely that Vitor will answer close to questions correctly, but not exactly . The exact number will vary due to chance.
