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A random variable X could have an expected value of -1. 1) True 2) False

A random variable X could have an expected value of -1. 1) True 2) False

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 2P: Family Planning A intend to have two children. What is tie probability that they will have child of...
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### Understanding Random Variables and Expected Values #### Question: A random variable \( X \) could have an expected value of -1. #### Options: - \( \bigcirc \) 1) True - \( \bigcirc \) 2) False --- **Explanation:** A random variable is a variable whose value is subject to variations due to chance. The expected value, also known as the mean, of a random variable is a measure of the center of its distribution. It is calculated as the sum of all possible values of the variable, each multiplied by its probability of occurring. The expected value of a random variable can indeed be any real number, including negative values. This is because the calculation of the expected value takes into account the probabilities and the values that the random variable can assume. So, it is possible for a random variable \( X \) to have an expected value of -1. To answer this question, select the option that you believe correctly evaluates the statement given. ---
Transcribed Image Text:### Understanding Random Variables and Expected Values #### Question: A random variable \( X \) could have an expected value of -1. #### Options: - \( \bigcirc \) 1) True - \( \bigcirc \) 2) False --- **Explanation:** A random variable is a variable whose value is subject to variations due to chance. The expected value, also known as the mean, of a random variable is a measure of the center of its distribution. It is calculated as the sum of all possible values of the variable, each multiplied by its probability of occurring. The expected value of a random variable can indeed be any real number, including negative values. This is because the calculation of the expected value takes into account the probabilities and the values that the random variable can assume. So, it is possible for a random variable \( X \) to have an expected value of -1. To answer this question, select the option that you believe correctly evaluates the statement given. ---
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