Introductory Statistics 9th Edition

Published by Wiley
ISBN 10: 1-11905-571-7
ISBN 13: 978-1-11905-571-6

Chapter 5 - Section 5.3 - Mean and Standard Deviation of a Discrete Random Variable - Exercises - Page 192: 5.15

Answer

The mean of a discrete random variable x is the value that is expected to occur per repetition. On average, if an experiment is repeated a large number of times the average will be denoted by μ and calculated as $μ = ∑xP(x)$. The discrete random variable x is also called its expected value and is denoted by $E(x) = ∑xP(x)$ The standard deviation of a discrete random variable x measures the spread of its probability distribution and is computed as $\sqrt∑(x^{2}P(x) - μ^{2})$.

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