Check whether it is appropriate to approximate the probability distribution x with a normal distribution .

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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 5.5, Problem 79LM

a.

To determine

Check whether it is appropriate to approximate the probability distribution x with a normal distribution.

b.

To determine

Find the mean and variance of the approximating normal distribution.

c.

To determine

Find the exact value of P(x≥9).

d.

To determine

Use the normal approximation to find the value P(x≥9).

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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 5.5, Problem 79LM

a.

To determine

Check whether it is appropriate to approximate the probability distribution x with a normal distribution.

b.

To determine

Find the mean and variance of the approximating normal distribution.

c.

To determine

Find the exact value of P(x≥9).

d.

To determine

Use the normal approximation to find the value P(x≥9).

Expert Solution & Answer

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Check out a sample textbook solution

See solution

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 5.5, Problem 79LM

a.

To determine

Check whether it is appropriate to approximate the probability distribution x with a normal distribution.

b.

To determine

Find the mean and variance of the approximating normal distribution.

c.

To determine

Find the exact value of P(x≥9).

d.

To determine

Use the normal approximation to find the value P(x≥9).

Expert Solution & Answer

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Check out a sample textbook solution

See solution

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 5.5, Problem 79LM

a.

To determine

Check whether it is appropriate to approximate the probability distribution x with a normal distribution.

b.

To determine

Find the mean and variance of the approximating normal distribution.

c.

To determine

Find the exact value of P(x≥9).

d.

To determine

Use the normal approximation to find the value P(x≥9).

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 5.5, Problem 79LM

a.

To determine

Check whether it is appropriate to approximate the probability distribution x with a normal distribution.

b.

To determine

Find the mean and variance of the approximating normal distribution.

c.

To determine

Find the exact value of P(x≥9).

d.

To determine

Use the normal approximation to find the value P(x≥9).

Answer 6

Chapter 5.5, Problem 79LM

a.

To determine

Check whether it is appropriate to approximate the probability distribution x with a normal distribution.

Answer 7

Chapter 5.5, Problem 79LM

a.

To determine

Check whether it is appropriate to approximate the probability distribution x with a normal distribution.

Answer 8

b.

To determine

Find the mean and variance of the approximating normal distribution.

Answer 9

b.

To determine

Find the mean and variance of the approximating normal distribution.

Answer 10

c.

To determine

Find the exact value of P(x≥9).

Answer 11

c.

To determine

Find the exact value of P(x≥9).

Answer 12

d.

To determine

Use the normal approximation to find the value P(x≥9).

Answer 13

d.

To determine

Use the normal approximation to find the value P(x≥9).

Answer 14

Expert Solution & Answer

Answer 15

Expert Solution & Answer

Answer 16

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Answer 17

Ch. 5.2 - Give a characteristic of a uniform random...Ch. 5.2 - The uniform distribution is sometimes referred to...Ch. 5.2 - Suppose x is a random variable best described by a...Ch. 5.2 - Refer to Exercise 5.3. Find the following...Ch. 5.2 - Suppose x is a random variable best described by a...Ch. 5.2 - Refer to Exercise 5.5. Find the value of a that...Ch. 5.2 - 4.137 The random variable x is best described by a...Ch. 5.2 - The random variable x is best described by a...Ch. 5.2 - Prob. 5.1AE Ch. 5.2 - Prob. 5.2AE

Check whether it is appropriate to approximate the probability distribution x with a normal distribution .

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Check whether it is appropriate to approximate the probability distribution x with a normal distribution.

Find the mean and variance of the approximating normal distribution.

Find the exact value of P(x≥9).

Use the normal approximation to find the value P(x≥9).

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