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ESP A psychologist tells you that in an ESP (extrasensory perception) experiment, there is a 20% chance of answering a question correctly. What is the probability of answering a question correctly?
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Ch. 4 - Probability
Triola14th EditionElementary StatisticsISBN: 9780137366446
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TOC.tableOfContents
- Ch. 1 - Introduction to Statistics88
- Ch. 2 - Exploring Data with Tables and Graphs70
- Ch. 3 - Describing, Exploring, and Comparing Data66
- Ch. 4 - Probability112
- Ch. 5 - Discrete Probability Distributions109
- Ch. 6 - Normal Probability Distributions122
- Ch. 7 - Estimating Parameters and Determining Sample Sizes107
- Ch. 8 - Hypothesis Testing75
- Ch. 9 - Inferences from Two Samples94
- Ch. 10 - Correlation and Regression80
- Ch. 11 - Goodness-of-Fit and Contingency Tables29
- Ch. 12 - Analysis of Variance42
Triola14th EditionElementary StatisticsISBN: 9780137366446Non è quello che usi tu?Cambia libro di testo
Capitolo 4, Problema 4.q.2
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?
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Step 1: Understand the problem. The question asks for the probability of a wrong answer when a random guess is made on a multiple-choice question with 5 possible answers (a, b, c, d, e).
Step 2: Recall the formula for probability. The probability of an event occurring is given by the formula: P(Event) = (Number of favorable outcomes) / (Total number of possible outcomes).
Step 3: Identify the total number of possible outcomes. In this case, there are 5 possible answers (a, b, c, d, e), so the total number of possible outcomes is 5.
Step 4: Determine the number of favorable outcomes for a wrong answer. Since only one answer is correct, the number of wrong answers is 5 - 1 = 4.
Step 5: Calculate the probability of a wrong answer using the formula: P(Wrong Answer) = (Number of wrong answers) / (Total number of possible answers) = 4 / 5.
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Probability
Probability is a measure of the likelihood that a particular event will occur, expressed as a number between 0 and 1. In the context of multiple-choice questions, it quantifies the chance of selecting a specific answer from a set of possible options. For example, if there are five choices (a, b, c, d, e), the probability of randomly guessing one correct answer is 1 out of 5, or 0.2.
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5:37
Introduction to Probability
Complementary Events
Complementary events are pairs of outcomes in probability that cover all possible outcomes of an experiment. In this case, the event of guessing correctly (selecting the right answer) and guessing incorrectly (selecting any of the wrong answers) are complementary. If the probability of a correct answer is 0.2, then the probability of a wrong answer is the complement, calculated as 1 - 0.2, which equals 0.8.
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4:23Complementary Events
Random Guessing
Random guessing refers to making a choice without any prior knowledge or strategy, leading to an equal likelihood of selecting any of the available options. In the scenario of a multiple-choice question with five answers, if a student guesses randomly, each answer has an equal probability of being chosen, which is crucial for calculating the overall probabilities of correct and incorrect answers.
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07:09Intro to Random Variables & Probability Distributions
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Births in the United States In the United States, the true probability of a baby being a boy is 0.512 (based on the data available at this writing). For a family having three children, find the following.
d. The probability that at least one of the children is a girl.
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Subjective Probability Estimate the probability that the next time you watch a TV news report, it includes a story about a plane crash.
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Domanda del libro di testo
In Exercises 6–10, use the following results from tests of an experiment to test the effectiveness of an experimental vaccine for children (based on data from USA Today). Express all probabilities in decimal form.
If 1 of the 1602 subjects is randomly selected, find the probability of getting 1 that developed flu.
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In Exercises 6–10, use the following results from tests of an experiment to test the effectiveness of an experimental vaccine for children (based on data from USA Today). Express all probabilities in decimal form.
If 1 of the 1602 subjects is randomly selected, find the probability of getting 1 who had the vaccine treatment and developed flu.
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Domanda del libro di testo
National Statistics Day
b. If a person is randomly selected, find the probability that his or her birthday is in October. Ignore leap years.
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