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5. True/False Exam A student takes a 20-question, true/false exam and guesses on each question. Find the probability of passing if the lowest passing grade is 15 correct out of 20. Would you consider this event likely to occur? Explain your answer. 0.021; no, it's only about a 2% chance.

5. True/False Exam A student takes a 20-question, true/false exam and guesses on each question. Find the probability of passing if the lowest passing grade is 15 correct out of 20. Would you consider this event likely to occur? Explain your answer. 0.021; no, it's only about a 2% chance.

A First Course in Probability (10th Edition)
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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5. True/False Exam A student takes a 20-question, true/false exam and guesses on each question. Find the probability of passing if the lowest passing grade is 15 correct out of 20. Would you consider this event likely to occur? Explain your answer. 0.021; no, it's only about a 2% chance. 6. Multiple-Choice Exam A student takes a 20-question, multiple-choice exam with five choices for each question and guesses on each question. Find the probability of guessing at least 15 out of 20 correctly. Would you consider this event likely or unlikely to occur? Explain your answer. 0.000; the probability is extremely small. 7. Driving to Work Alone It is reported that 77% of workers aged 16 and over drive to work alone. Choose 8 workers at random. Find the probability that a. All drive to work alone 0.124 b. More than one-half drive to work alone 0.912 c. Exactly 3 drive to work alone 0.017 Source: www.factfinder.census.gov 8. High School Dropouts Approximately 10.3% of American high school students drop out of school before graduation. Choose 10 students entering high school at random. Find the probability that No more than two drop out 0.925 b. At least 6 graduate 0.998 c. All 10 stay in school and graduate 0.337 а. Source: www.infoplease.com 9. Survey on Concern for Criminals In a survey, 3 of 4 students said the courts show "too much concern" for criminals. Find the probability that at most 3 out of 7 randomly selected students will agree with this statement. Source: Harper's Index. 0.071 10. Labor Force Couples The percentage of couples where both parties are in the labor force is 52.1. Choose 5 couples at random. Find the probability that None of the couples have both persons working 0.025 b. More than 3 of the couples have both persons in the labor force 0.215 а. Fewer than 2 of the couples have both parties working 0.162 с. Source: www.bls.gov
Transcribed Image Text:5. True/False Exam A student takes a 20-question, true/false exam and guesses on each question. Find the probability of passing if the lowest passing grade is 15 correct out of 20. Would you consider this event likely to occur? Explain your answer. 0.021; no, it's only about a 2% chance. 6. Multiple-Choice Exam A student takes a 20-question, multiple-choice exam with five choices for each question and guesses on each question. Find the probability of guessing at least 15 out of 20 correctly. Would you consider this event likely or unlikely to occur? Explain your answer. 0.000; the probability is extremely small. 7. Driving to Work Alone It is reported that 77% of workers aged 16 and over drive to work alone. Choose 8 workers at random. Find the probability that a. All drive to work alone 0.124 b. More than one-half drive to work alone 0.912 c. Exactly 3 drive to work alone 0.017 Source: www.factfinder.census.gov 8. High School Dropouts Approximately 10.3% of American high school students drop out of school before graduation. Choose 10 students entering high school at random. Find the probability that No more than two drop out 0.925 b. At least 6 graduate 0.998 c. All 10 stay in school and graduate 0.337 а. Source: www.infoplease.com 9. Survey on Concern for Criminals In a survey, 3 of 4 students said the courts show "too much concern" for criminals. Find the probability that at most 3 out of 7 randomly selected students will agree with this statement. Source: Harper's Index. 0.071 10. Labor Force Couples The percentage of couples where both parties are in the labor force is 52.1. Choose 5 couples at random. Find the probability that None of the couples have both persons working 0.025 b. More than 3 of the couples have both persons in the labor force 0.215 а. Fewer than 2 of the couples have both parties working 0.162 с. Source: www.bls.gov
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