Excursions in Mathematics, Loose-Leaf Edition Plus MyLab Math with Pearson eText -- 18 Week Access Card Package

9th Edition

ISBN: 9780136208754

Author: Tannenbaum, Peter

Publisher: PEARSON

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Textbook Question

Chapter 17, Problem 31E

Consider the normal distribution defined by Fig. 17-18.

Chapter 17, Problem 31E, Consider the normal distribution defined by Fig. 17-18. a. Find the mean and the standard deviation

a. Find the mean μ and the standard deviation σ of the distribution.

b. Find the first quartile Q 1 and the third quartile Q 3 of the distribution rounded to the nearest tenth of a centimeter.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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Chapter 17, Problem 30E

Chapter 17, Problem 32E

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1. 2. Show that the following are not logically equivalent by finding a counterexample: (p^q) →r and (db) V (d←d) Show that the following is not a contradiction by finding a counterexample: (pV-q) AqA (pv¬q Vr) 3. Here is a purported proof that (pq) ^ (q → p) = F: (db) v (bd) = (db) v (bd) =(qVp) A (g→p) = (¬¬q V ¬p) ^ (q→ p) (db) V (db) = =¬(a→p)^(a→p) = (gp) ^¬(a → p) =F (a) Show that (pq) ^ (q→p) and F are not logically equivalent by finding a counterex- ample. (b) Identify the error(s) in this proof and justify why they are errors. Justify the other steps with their corresponding laws of propositional logic.

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Chapter 17 Solutions

Excursions in Mathematics, Loose-Leaf Edition Plus MyLab Math with Pearson eText -- 18 Week Access Card Package

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Consider the normal distribution defined by Fig. 17-18 . a. Find the mean μ and the standard deviation σ of the distribution. b. Find the first quartile Q 1 and the third quartile Q 3 of the distribution rounded to the nearest tenth of a centimeter.

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Chapter 17 Solutions