9th Edition

ISBN: 9780321794772

Author: Sheldon Ross

Publisher: PEARSON

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A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear re…

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Textbook Question

Chapter 5, Problem 5.21STPE

With Φ ( x ) being the probability that a normal random variable with mean 0 and variance 1 is less than x. which of the following are true:

a. Φ ( − x ) = Φ ( x )

b. Φ ( x ) + Φ ( − x ) = 1

c. Φ ( − x ) = 1 Φ ( x )

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 5, Problem 5.20STPE

Chapter 5, Problem 5.22STPE

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Chapter 5 Solutions

A First Course in Probability

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With Φ ( x ) being the probability that a normal random variable with mean 0 and variance 1 is less than x. which of the following are true: a. Φ ( − x ) = Φ ( x ) b. Φ ( x ) + Φ ( − x ) = 1 c. Φ ( − x ) = 1 Φ ( x )

Solution Summary: The author explains that the correct option is "b". The normal distribution is a symmetrical distribution.

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Chapter 5 Solutions