Explanation Given Information: The expected value of random variable X with symmetric distribution is μ = 200 and standard deviation σ = 5 . Formula Used: The mean of the set of values x 1 , x 2 , ... , x n is the average of all values which means sum of all values divided by the number of values. According to the Chebyshev’s rule, the interval [ x ¯ − k s , x ¯ + k s ] will include at least 1 − 1 k 2 of the values which lie within k standard deviations of the mean. Calculation: Consider the expected value of random variable X is μ = 200 and standard deviation σ = 5 . Since X lie within k standard deviations of the mean according to the Chebyshev’s rule and the probability is at least 1 − 1 k 2 . Since the distribution is symmetric, the value will exceed x ¯ + k s at most half of 1 k 2 of the time 1 2 k 2

Finite Mathematics and Applied Calculus (MindTap Course List)

7th Edition

ISBN: 9781337274203

Author: Stefan Waner, Steven Costenoble

Publisher: Cengage Learning

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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Chapter 9, Problem 26RE

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To calculate: The value that X is guaranteed to exceed with a probability of at most 10% using Chebyshev`s rule if the expected value of random variable X with symmetric distribution is μ=200 and standard deviation σ=5.

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Chapter 9, Problem 25RE

Chapter 9, Problem 27RE

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Chapter 9 Solutions

Finite Mathematics and Applied Calculus (MindTap Course List)

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Ch. 9.1 - Prob. 11E Ch. 9.1 - Prob. 12E Ch. 9.1 - Prob. 13E Ch. 9.1 - Prob. 14E Ch. 9.1 - In Exercises 1118, (a) say what an appropriate...Ch. 9.1 - Prob. 16E Ch. 9.1 - In Exercises 1118, (a) say what an appropriate...Ch. 9.1 - Prob. 18E Ch. 9.1 - Prob. 19E Ch. 9.1 - Prob. 20E Ch. 9.1 - Prob. 21E Ch. 9.1 - Prob. 22E Ch. 9.1 - In Exercises 2128, give the probability...Ch. 9.1 - Prob. 24E Ch. 9.1 - Prob. 25E Ch. 9.1 - Prob. 26E Ch. 9.1 - Prob. 27E Ch. 9.1 - Prob. 28E Ch. 9.1 - 2010 Income Distribution up to $100,000 The...Ch. 9.1 - 2003 Income Distribution up to $100,000 Repeat...Ch. 9.1 - Prob. 31E Ch. 9.1 - Prob. 32E Ch. 9.1 - Prob. 33E Ch. 9.1 - Housing Prices Going into the Real Estate Bubble...Ch. 9.1 - Prob. 35E Ch. 9.1 - Prob. 36E Ch. 9.1 - Prob. 37E Ch. 9.1 - Prob. 38E Ch. 9.1 - Car Purchases To persuade his parents to...Ch. 9.1 - Prob. 40E Ch. 9.1 - Prob. 41E Ch. 9.1 - Prob. 42E Ch. 9.1 - Prob. 43E Ch. 9.1 - Prob. 44E Ch. 9.1 - Prob. 45E Ch. 9.1 - Prob. 46E Ch. 9.1 - Prob. 47E Ch. 9.1 - 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The value that X is guaranteed to exceed with a probability of at most 10 % using Chebyshev`s rule if the expected value of random variable X with symmetric distribution is μ = 200 and standard deviation σ = 5 .

Solution Summary: The author calculates the value that X is guaranteed to exceed with a probability of at least 10% using Chebyshev's rule.

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To calculate: The value that X is guaranteed to exceed with a probability of at most 10% using Chebyshev`s rule if the expected value of random variable X with symmetric distribution is μ=200 and standard deviation σ=5.

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Chapter 9 Solutions