Check whether the binomial distribution can be approximated by a normal distribution or a Poisson distribution or both when n = 40 , p = 0.05 .

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Answer 1

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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 5.8, Problem C.2RE

a.

To determine

Check whether the binomial distribution can be approximated by a normal distribution or a Poisson distribution or both when n=40,p=0.05.

b.

To determine

Check whether the binomial distribution can be approximated by a normal distribution or a Poisson distribution or both when n=300,p=0.05.

c.

To determine

Check whether the binomial distribution can be approximated by a normal distribution or a Poisson distribution or both when n=500,p=0.001.

d.

To determine

Check whether the binomial distribution can be approximated by a normal distribution or a Poisson distribution or both when n=1,000,p=0.001.

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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 5.8, Problem C.2RE

a.

To determine

Check whether the binomial distribution can be approximated by a normal distribution or a Poisson distribution or both when n=40,p=0.05.

b.

To determine

Check whether the binomial distribution can be approximated by a normal distribution or a Poisson distribution or both when n=300,p=0.05.

c.

To determine

Check whether the binomial distribution can be approximated by a normal distribution or a Poisson distribution or both when n=500,p=0.001.

d.

To determine

Check whether the binomial distribution can be approximated by a normal distribution or a Poisson distribution or both when n=1,000,p=0.001.

Expert Solution & Answer

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Check out a sample textbook solution

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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 5.8, Problem C.2RE

a.

To determine

Check whether the binomial distribution can be approximated by a normal distribution or a Poisson distribution or both when n=40,p=0.05.

b.

To determine

Check whether the binomial distribution can be approximated by a normal distribution or a Poisson distribution or both when n=300,p=0.05.

c.

To determine

Check whether the binomial distribution can be approximated by a normal distribution or a Poisson distribution or both when n=500,p=0.001.

d.

To determine

Check whether the binomial distribution can be approximated by a normal distribution or a Poisson distribution or both when n=1,000,p=0.001.

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 5.8, Problem C.2RE

a.

To determine

Check whether the binomial distribution can be approximated by a normal distribution or a Poisson distribution or both when n=40,p=0.05.

b.

To determine

Check whether the binomial distribution can be approximated by a normal distribution or a Poisson distribution or both when n=300,p=0.05.

c.

To determine

Check whether the binomial distribution can be approximated by a normal distribution or a Poisson distribution or both when n=500,p=0.001.

d.

To determine

Check whether the binomial distribution can be approximated by a normal distribution or a Poisson distribution or both when n=1,000,p=0.001.

Expert Solution & Answer

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Answer 5

Chapter 5.8, Problem C.2RE

a.

To determine

Check whether the binomial distribution can be approximated by a normal distribution or a Poisson distribution or both when n=40,p=0.05.

b.

To determine

Check whether the binomial distribution can be approximated by a normal distribution or a Poisson distribution or both when n=300,p=0.05.

c.

To determine

Check whether the binomial distribution can be approximated by a normal distribution or a Poisson distribution or both when n=500,p=0.001.

d.

To determine

Check whether the binomial distribution can be approximated by a normal distribution or a Poisson distribution or both when n=1,000,p=0.001.

Answer 6

Chapter 5.8, Problem C.2RE

a.

To determine

Check whether the binomial distribution can be approximated by a normal distribution or a Poisson distribution or both when n=40,p=0.05.

Answer 7

Chapter 5.8, Problem C.2RE

a.

To determine

Check whether the binomial distribution can be approximated by a normal distribution or a Poisson distribution or both when n=40,p=0.05.

Answer 8

b.

To determine

Check whether the binomial distribution can be approximated by a normal distribution or a Poisson distribution or both when n=300,p=0.05.

Answer 9

b.

To determine

Check whether the binomial distribution can be approximated by a normal distribution or a Poisson distribution or both when n=300,p=0.05.

Answer 10

c.

To determine

Check whether the binomial distribution can be approximated by a normal distribution or a Poisson distribution or both when n=500,p=0.001.

Answer 11

c.

To determine

Check whether the binomial distribution can be approximated by a normal distribution or a Poisson distribution or both when n=500,p=0.001.

Answer 12

d.

To determine

Check whether the binomial distribution can be approximated by a normal distribution or a Poisson distribution or both when n=1,000,p=0.001.

Answer 13

d.

To determine

Check whether the binomial distribution can be approximated by a normal distribution or a Poisson distribution or both when n=1,000,p=0.001.

Answer 14

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Answer 15

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Answer 16

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Answer 17

Ch. 5.4 - What is the difference between a...Ch. 5.4 - Suppose a continuous random variable can only take...Ch. 5.4 - What is a standard normal distribution?Ch. 5.4 - (a) What is the area to the left of 0.2 under a...Ch. 5.4 - (a) What is z.30? What does it mean? (b) What is...Ch. 5.5 - What is the difference between a standard normal...Ch. 5.5 - What does the principle of standardization mean?Ch. 5.5 - Suppose the distribution of serum-cholesterol...Ch. 5.8 - Why do we use the normal approximation to the...Ch. 5.8 - Prob. C.2RE

Check whether the binomial distribution can be approximated by a normal distribution or a Poisson distribution or both when n = 40 , p = 0.05 .

Solution Summary: The author explains how the binomial distribution can be approximated by a normal distribution or Poisson distribution.

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Check whether the binomial distribution can be approximated by a normal distribution or a Poisson distribution or both when n=40,p=0.05.

Check whether the binomial distribution can be approximated by a normal distribution or a Poisson distribution or both when n=300,p=0.05.

Check whether the binomial distribution can be approximated by a normal distribution or a Poisson distribution or both when n=500,p=0.001.

Check whether the binomial distribution can be approximated by a normal distribution or a Poisson distribution or both when n=1,000,p=0.001.

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