Determine how the shape of the normal distribution differs from the shapes of the uniform and exponential distribution.

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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 6, Problem 42PS

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Determine how the shape of the normal distribution differs from the shapes of the uniform and exponential distribution.

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A well-known company predominantly makes flat pack furniture for students. Variability with the automated machinery means the wood components are cut with a standard deviation in length of 0.45 mm. After they are cut the components are measured. If their length is more than 1.2 mm from the required length, the components are rejected. a) Calculate the percentage of components that get rejected. b) In a manufacturing run of 1000 units, how many are expected to be rejected? c) The company wishes to install more accurate equipment in order to reduce the rejection rate by one-half, using the same ±1.2mm rejection criterion. Calculate the maximum acceptable standard deviation of the new process.

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Answer 2

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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 6, Problem 42PS

To determine

Determine how the shape of the normal distribution differs from the shapes of the uniform and exponential distribution.

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Check out a sample textbook solution

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Answer 3

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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 6, Problem 42PS

To determine

Determine how the shape of the normal distribution differs from the shapes of the uniform and exponential distribution.

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 4

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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 6, Problem 42PS

To determine

Determine how the shape of the normal distribution differs from the shapes of the uniform and exponential distribution.

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Answer 5

Chapter 6, Problem 42PS

To determine

Determine how the shape of the normal distribution differs from the shapes of the uniform and exponential distribution.

Answer 6

Chapter 6, Problem 42PS

To determine

Determine how the shape of the normal distribution differs from the shapes of the uniform and exponential distribution.

Answer 7

Chapter 6, Problem 42PS

To determine

Determine how the shape of the normal distribution differs from the shapes of the uniform and exponential distribution.

Answer 8

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Answer 11

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Determine how the shape of the normal distribution differs from the shapes of the uniform and exponential distribution.

Solution Summary: The author compares the shape of the normal and exponential distributions. Uniform distribution has a bounded range between left[a,bright], whereas normal distribution ranges from negative infinity to

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Determine how the shape of the normal distribution differs from the shapes of the uniform and exponential distribution.

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