Show that the parameter σ must be such that σ > 0 using the fundamental properties with any density function .

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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.

Chapter 4.5, Problem 60E

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Show that the parameter σ must be such that σ>0 using the fundamental properties with any density function.

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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.

Chapter 4.5, Problem 60E

To determine

Show that the parameter σ must be such that σ>0 using the fundamental properties with any density function.

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Answer 3

Question

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.

Chapter 4.5, Problem 60E

To determine

Show that the parameter σ must be such that σ>0 using the fundamental properties with any density function.

Expert Solution & Answer

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Answer 4

Question

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.

Chapter 4.5, Problem 60E

To determine

Show that the parameter σ must be such that σ>0 using the fundamental properties with any density function.

Expert Solution & Answer

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Answer 5

Chapter 4.5, Problem 60E

To determine

Show that the parameter σ must be such that σ>0 using the fundamental properties with any density function.

Answer 6

Chapter 4.5, Problem 60E

To determine

Show that the parameter σ must be such that σ>0 using the fundamental properties with any density function.

Answer 7

Chapter 4.5, Problem 60E

To determine

Show that the parameter σ must be such that σ>0 using the fundamental properties with any density function.

Answer 8

Expert Solution & Answer

Answer 9

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Answer 10

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Answer 11

Ch. 4.2 - Prob. 1E Ch. 4.2 - A box contains five keys, only one of which will...Ch. 4.2 - A Bernoulli random variable is one that assumes...Ch. 4.2 - Let Y be a binomial random variable with n = 1 and...Ch. 4.2 - Suppose that Y is a random variable that takes on...Ch. 4.2 - Consider a random variable with a geometric...Ch. 4.2 - Let Y be a binomial random variable with n=10 and...Ch. 4.2 - Prob. 8E Ch. 4.2 - A random variable Y has the following distribution...Ch. 4.2 - Refer to the density function given in Exercise...

Show that the parameter σ must be such that σ > 0 using the fundamental properties with any density function .

Solution Summary: The author explains that the parameter sigma must be positive, that is the value of >0, using the fundamental properties with any density function.

Show that the parameter σ must be such that σ>0 using the fundamental properties with any density function.

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Chapter 4 Solutions

Show that the parameter σ must be such that σ &gt; 0 using the fundamental properties with any density function .

Solution Summary: The author explains that the parameter sigma must be positive, that is the value of >0, using the fundamental properties with any density function.

Show that the parameter σ must be such that σ>0 using the fundamental properties with any density function.

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Chapter 4 Solutions

Show that the parameter σ must be such that σ > 0 using the fundamental properties with any density function .