Mention the requirements must be satisfied for approximating the binomial random variable r by a normal variable x . Identify whether the requirements are satisfied are not.

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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 10CURP

(a)

To determine

Mention the requirements must be satisfied for approximating the binomial random variable r by a normal variable x.

Identify whether the requirements are satisfied are not.

(b)

To determine

Find the probability that there would be at least 20 “neutral” readings out of these 65 trials.

(c)

To determine

Explain why the Poisson approximation to the binomial is not appropriate.

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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 10CURP

(a)

To determine

Mention the requirements must be satisfied for approximating the binomial random variable r by a normal variable x.

Identify whether the requirements are satisfied are not.

(b)

To determine

Find the probability that there would be at least 20 “neutral” readings out of these 65 trials.

(c)

To determine

Explain why the Poisson approximation to the binomial is not appropriate.

Expert Solution & Answer

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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 10CURP

(a)

To determine

Mention the requirements must be satisfied for approximating the binomial random variable r by a normal variable x.

Identify whether the requirements are satisfied are not.

(b)

To determine

Find the probability that there would be at least 20 “neutral” readings out of these 65 trials.

(c)

To determine

Explain why the Poisson approximation to the binomial is not appropriate.

Expert Solution & Answer

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Check out a sample textbook solution

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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 6, Problem 10CURP

(a)

To determine

Mention the requirements must be satisfied for approximating the binomial random variable r by a normal variable x.

Identify whether the requirements are satisfied are not.

(b)

To determine

Find the probability that there would be at least 20 “neutral” readings out of these 65 trials.

(c)

To determine

Explain why the Poisson approximation to the binomial is not appropriate.

Expert Solution & Answer

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Answer 5

Chapter 6, Problem 10CURP

(a)

To determine

Mention the requirements must be satisfied for approximating the binomial random variable r by a normal variable x.

Identify whether the requirements are satisfied are not.

(b)

To determine

Find the probability that there would be at least 20 “neutral” readings out of these 65 trials.

(c)

To determine

Explain why the Poisson approximation to the binomial is not appropriate.

Answer 6

Chapter 6, Problem 10CURP

(a)

To determine

Mention the requirements must be satisfied for approximating the binomial random variable r by a normal variable x.

Identify whether the requirements are satisfied are not.

Answer 7

Chapter 6, Problem 10CURP

(a)

To determine

Mention the requirements must be satisfied for approximating the binomial random variable r by a normal variable x.

Identify whether the requirements are satisfied are not.

Answer 8

(b)

To determine

Find the probability that there would be at least 20 “neutral” readings out of these 65 trials.

Answer 9

(b)

To determine

Find the probability that there would be at least 20 “neutral” readings out of these 65 trials.

Answer 10

(c)

To determine

Explain why the Poisson approximation to the binomial is not appropriate.

Answer 11

(c)

To determine

Explain why the Poisson approximation to the binomial is not appropriate.

Answer 12

Expert Solution & Answer

Answer 13

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Answer 14

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Answer 15

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Mention the requirements must be satisfied for approximating the binomial random variable r by a normal variable x . Identify whether the requirements are satisfied are not.

Solution Summary: The author explains the requirements for approximating the binomial random variable r by a normal variable.

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Mention the requirements must be satisfied for approximating the binomial random variable r by a normal variable x.

Identify whether the requirements are satisfied are not.

Find the probability that there would be at least 20 “neutral” readings out of these 65 trials.

Explain why the Poisson approximation to the binomial is not appropriate.

Want to see the full answer?

Chapter 6 Solutions

Mention the requirements must be satisfied for approximating the binomial random variable r by a normal variable x . Identify whether the requirements are satisfied are not.

Solution Summary: The author explains the requirements for approximating the binomial random variable r by a normal variable.

Concept explainers

Videos

Mention the requirements must be satisfied for approximating the binomial random variable r by a normal variable x. Identify whether the requirements are satisfied are not.

Find the probability that there would be at least 20 “neutral” readings out of these 65 trials.

Explain why the Poisson approximation to the binomial is not appropriate.

Want to see the full answer?

Chapter 6 Solutions

Mention the requirements must be satisfied for approximating the binomial random variable r by a normal variable x.

Identify whether the requirements are satisfied are not.