9th Edition

ISBN: 9780136415893

Author: Tannenbaum

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Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could co…

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a…

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Textbook Question

Chapter 17, Problem 11E

Explain why a distribution with median $M = 82$ , mean $μ = 71$ and standard deviation $σ = 11$ cannot be a normal distribution.

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 10E

Chapter 17, Problem 12E

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Chapter 17 Solutions

MYLAB MATH FOR EXCURSIONS IN MATHEMATIC

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Explain why a distribution with median M = 82 , mean μ = 71 and standard deviation σ = 11 cannot be a normal distribution .

Solution Summary: The author explains that the given distribution is not a normal distribution, since the mean and median of the distribution are not equal.

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Chapter 17 Solutions