Elementary Statistics (13th Edition)
Elementary Statistics (13th Edition)
13th Edition
ISBN: 9780134462455
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 4, Problem 1CQQ

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 probability of a wrong answer if the answer is a random guess?

Expert Solution & Answer
Check Mark
To determine

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,

P(A)=Number of ways event A occursNumber of simple events

Substitute 1 for ‘Number of ways of event A occurs’ and 5 for ‘Number of simple events’

P(A)=15=0.2

The formula for probability of complement of event A is, P(A¯)=1P(A)

Substitute 0.2 for P(A) ,

P(A¯)=1P(A)=10.2=0.8

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 (13th Edition)

Ch. 4.1 - In Exercises 9-12, assume that 50 births are...Ch. 4.1 - In Exercises 9-12, assume that 50 births are...Ch. 4.1 - In Exercises 13-20, express the indicated degree...Ch. 4.1 - SAT Test When making a random guess for an answer...Ch. 4.1 - In Exercises 13-20, express the indicated degree...Ch. 4.1 - In Exercises 13-20, express the indicated degree...Ch. 4.1 - Randomness When using a computer to randomly...Ch. 4.1 - In Exercises 13-20, express the indicated degree...Ch. 4.1 - In Exercises 13-20, express the indicated degree...Ch. 4.1 - In Exercises 13-20, express the indicated degree...Ch. 4.1 - In Exercises 21-24, refer to the sample data in...Ch. 4.1 - In Exercises 21-24, refer to the sample data in...Ch. 4.1 - In Exercises 21-24, refer to the sample data in...Ch. 4.1 - In Exercises 21-24, refer to the sample data in...Ch. 4.1 - In Exercises 25-32, find the probability and...Ch. 4.1 - In Exercises 25-32, find the probability and...Ch. 4.1 - In Exercises 25-32, find the probability and...Ch. 4.1 - In Exercises 25-32, find the probability and...Ch. 4.1 - In Exercises 25-32, find the probability and...Ch. 4.1 - In Exercises 25-32, find the probability and...Ch. 4.1 - In Exercises 25-32, find the probability and...Ch. 4.1 - In Exercises 25-32, find the probability and...Ch. 4.1 - Probability from a Sample Space. In Exercises...Ch. 4.1 - Probability from a Sample Space. In Exercises...Ch. 4.1 - Probability from a Sample Space. In Exercises...Ch. 4.1 - Probability from a Sample Space. In Exercises...Ch. 4.1 - Using Probability to Form Conclusions. In...Ch. 4.1 - Using Probability to Form Conclusions. In...Ch. 4.1 - Using Probability to Form Conclusions. In...Ch. 4.1 - Using Probability to Form Conclusions. In...Ch. 4.1 - Kentucky Pick 4 In the Kentucky Pick 4 lottery,...Ch. 4.1 - Finding Odds in Roulette A roulette wheel has 38...Ch. 4.1 - Kentucky Derby Odds When the horse California...Ch. 4.1 - Relative Risk and Odds Ratio In a clinical trial...Ch. 4.2 - Notation When randomly selecting an adult, A...Ch. 4.2 - Notation When randomly selecting adults, let M...Ch. 4.2 - Sample for a Poll There are 15,524,971 adults in...Ch. 4.2 - Rule of Complements When randomly selecting an...Ch. 4.2 - Finding Complements. In Exercises 5-8, find the...Ch. 4.2 - Finding Complements. In Exercises 5-8, find the...Ch. 4.2 - Finding Complements. In Exercises 5-8, find the...Ch. 4.2 - Finding Complements. In Exercises 5-8, find the...Ch. 4.2 - In Exercises 9-20, use the data in the following...Ch. 4.2 - In Exercises 9-20, use the data in the following...Ch. 4.2 - In Exercises 9-20, use the data in the following...Ch. 4.2 - In Exercises 9-20, use the data in the following...Ch. 4.2 - In Exercises 9-20; use the data in the following...Ch. 4.2 - In Exercises 9-20, use the data in the following...Ch. 4.2 - In Exercises 9-20, use the data in the following...Ch. 4.2 - In Exercises 9-20, use the data in the following...Ch. 4.2 - In Exercises 9-20, use the data in the following...Ch. 4.2 - In Exercises 9-20, use the data in the following...Ch. 4.2 - In Exercises 9-20, use the data in the following...Ch. 4.2 - In Exercises 9-20, use the data in the following...Ch. 4.2 - In Exercises 21-24, use these results from the...Ch. 4.2 - In Exercises 21-24, use these results from the...Ch. 4.2 - In Exercises 21-24, use these results from the...Ch. 4.2 - In Exercises 21-24, use these results from the...Ch. 4.2 - Redundancy. Exercises 25 and 26 involve...Ch. 4.2 - Redundancy. Exercises 25 and 26 involve...Ch. 4.2 - Acceptance Sampling. With one method of a...Ch. 4.2 - Acceptance Sampling. With one method of a...Ch. 4.2 - In Exercises 29 and 30, find the probabilities and...Ch. 4.2 - Prob. 30BSCCh. 4.2 - Surge Protectors Refer to the accompanying figure...Ch. 4.2 - Prob. 32BBCh. 4.2 - Exclusive Or The exclusive or means either one or...Ch. 4.2 - Complements and the Addition Rule Refer to the...Ch. 4.3 - Language: Complement of At Least One Let A = the...Ch. 4.3 - Probability of At Least One Let A = the event of...Ch. 4.3 - Notation When selecting one of your Facebook...Ch. 4.3 - Notation When selecting one of your Facebook...Ch. 4.3 - At Least One. In Exercises 5-12, find the...Ch. 4.3 - Probability of a Girl Assuming that boys and girls...Ch. 4.3 - At Least One. In Exercises 5-12, find the...Ch. 4.3 - At Least One. In Exercises 5-12, find the...Ch. 4.3 - At Least One. In Exercises 5-12, find the...Ch. 4.3 - At Least One. In Exercises 5-12, find the...Ch. 4.3 - At Least One. In Exercises 5-12, find the...Ch. 4.3 - At Least One. In Exercises 5-12, find the...Ch. 4.3 - Denomination Effect. In Exercises 13-16, use the...Ch. 4.3 - Denomination Effect. In Exercises 13-16, use the...Ch. 4.3 - Denomination Effect. In Exercises 13-16, use the...Ch. 4.3 - Denomination Effect. In Exercises 13-16, use the...Ch. 4.3 - In Exercises 17-20, refer to the accompanying...Ch. 4.3 - In Exercises 17-20, refer to the accompanying...Ch. 4.3 - In Exercises 17-20, refer to the accompanying...Ch. 4.3 - In Exercises 17-20, refer to the accompanying...Ch. 4.3 - Redundancy in Computer Hard Drives Assume that...Ch. 4.3 - Redundancy in Stadium Generators Large stadiums...Ch. 4.3 - Composite Drug Test Based on the data in Table 4-1...Ch. 4.3 - Composite Water Samples The Fairfield County...Ch. 4.3 - Shared Birthdays Find the probability that of 25...Ch. 4.4 - Notation What does the symbol ! represent? Six...Ch. 4.4 - New Jersey Pick 6 In the New Jersey Pick 6 lottery...Ch. 4.4 - Oregon Pick 4 In the Oregon Pick 4 lottery game, a...Ch. 4.4 - Combination Lock The typical combination lock uses...Ch. 4.4 - In Exercises 536, express all probabilities as...Ch. 4.4 - Social Security Numbers A Social Security number...Ch. 4.4 - Quinela In a horse race, a quinela bet is won if...Ch. 4.4 - Soccer Shootout In soccer, a tie at the end of...Ch. 4.4 - Grading Exams Your professor has just collected...Ch. 4.4 - Radio Station Call Letters If radio station call...Ch. 4.4 - Scheduling Routes A presidential candidate plans...Ch. 4.4 - Survey Reliability A survey with 12 questions is...Ch. 4.4 - Safety with Numbers The author owns a safe in...Ch. 4.4 - Electricity When testing for current in a cable...Ch. 4.4 - Sorting Hat At Hogwarts School of Witchcraft and...Ch. 4.4 - Moving Company The United Van Lines moving company...Ch. 4.4 - Powerball As of this writing, the Powerball...Ch. 4.4 - Teed Off When four golfers are about to begin a...Ch. 4.4 - ZIP Code If you randomly select five digits, each...Ch. 4.4 - FedEx Deliveries With a short time remaining in...Ch. 4.4 - Phone Numbers Current rules for telephone area...Ch. 4.4 - Classic Counting Problem A classic counting...Ch. 4.4 - Corporate Officers and Committees The Digital Pet...Ch. 4.4 - ATM You want to obtain cash by using an ATM, but...Ch. 4.4 - Party Mix DJ Marty T is hosting a party tonight...Ch. 4.4 - Identity Theft with Credit Cards Credit card...Ch. 4.4 - What a Word! 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If a person is randomly...Ch. 4 - Composite Sampling for Diabetes Currently, the...Ch. 4 - Wild Card Lottery The Wild Card lottery is run in...Ch. 4 - Pennsylvania Cash 5 In the Pennsylvania Cash 5...Ch. 4 - Redundancy Using Braun battery-powered alarm...Ch. 4 - Exacta In a horse race, an exacta bet is won by...Ch. 4 - Fatal Drunk Driving Listed below are the blood...Ch. 4 - Fatal Drunk Driving Use the same data given in...Ch. 4 - Organ Donors USA Today provided information about...Ch. 4 - Sampling Eye Color Based on a study by Dr. P....Ch. 4 - Prob. 5CRECh. 4 - New Lottery Game In the Monopoly Millionaires Club...Ch. 4 - Critical Thinking: Interpreting results from a...Ch. 4 - Critical Thinking: Interpreting results from a...Ch. 4 - Critical Thinking: Interpreting results from a...Ch. 4 - Critical Thinking: Interpreting results from a...Ch. 4 - Critical Thinking: Interpreting results from a...Ch. 4 - Critical Thinking: Interpreting results from a...Ch. 4 - Critical Thinking: Interpreting results from a...Ch. 4 - Critical Thinking: Interpreting results from a...Ch. 4 - Critical Thinking: Interpreting results from a...
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