Thepercentage of the scores between 500 and 600 , where the Math SAT scores of a recent freshman class at a university were normally distributed with μ = 535 and σ = 100 .

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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 12.4, Problem 32E

(a)

To determine

Thepercentage of the scores between 500 and 600, where the Math SAT scores of a recent freshman class at a university were normally distributed with μ=535 and σ=100.

(b)

To determine

The minimum score needed to be in the top 10% of the class, where the Math SAT scores of a recent freshman class at a university were normally distributed with μ=535 and σ=100.

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Suppose an oil spill covers a circular area and the radius, r, increases according to the graph shown below where t represents the number of minutes since the spill was first observed. Radius (feet) 80 70 60 50 40 30 20 10 0 r 0 10 20 30 40 50 60 70 80 90 Time (minutes) (a) How large is the circular area of the spill 30 minutes after it was first observed? Give your answer in terms of π. square feet (b) If the cost to clean the oil spill is proportional to the square of the diameter of the spill, express the cost, C, as a function of the radius of the spill, r. Use a lower case k as the proportionality constant. C(r) = (c) Which of the following expressions could be used to represent the amount of time it took for the radius of the spill to increase from 20 feet to 60 feet? r(60) - r(20) Or¹(80-30) r(80) - r(30) r-1(80) - r−1(30) r-1(60) - r¹(20)

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 12.4, Problem 32E

(a)

To determine

Thepercentage of the scores between 500 and 600, where the Math SAT scores of a recent freshman class at a university were normally distributed with μ=535 and σ=100.

(b)

To determine

The minimum score needed to be in the top 10% of the class, where the Math SAT scores of a recent freshman class at a university were normally distributed with μ=535 and σ=100.

Expert Solution & Answer

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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 12.4, Problem 32E

(a)

To determine

Thepercentage of the scores between 500 and 600, where the Math SAT scores of a recent freshman class at a university were normally distributed with μ=535 and σ=100.

(b)

To determine

The minimum score needed to be in the top 10% of the class, where the Math SAT scores of a recent freshman class at a university were normally distributed with μ=535 and σ=100.

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 12.4, Problem 32E

(a)

To determine

Thepercentage of the scores between 500 and 600, where the Math SAT scores of a recent freshman class at a university were normally distributed with μ=535 and σ=100.

(b)

To determine

The minimum score needed to be in the top 10% of the class, where the Math SAT scores of a recent freshman class at a university were normally distributed with μ=535 and σ=100.

Expert Solution & Answer

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Answer 5

Chapter 12.4, Problem 32E

(a)

To determine

Thepercentage of the scores between 500 and 600, where the Math SAT scores of a recent freshman class at a university were normally distributed with μ=535 and σ=100.

(b)

To determine

The minimum score needed to be in the top 10% of the class, where the Math SAT scores of a recent freshman class at a university were normally distributed with μ=535 and σ=100.

Answer 6

Chapter 12.4, Problem 32E

(a)

To determine

Thepercentage of the scores between 500 and 600, where the Math SAT scores of a recent freshman class at a university were normally distributed with μ=535 and σ=100.

Answer 7

Chapter 12.4, Problem 32E

(a)

To determine

Thepercentage of the scores between 500 and 600, where the Math SAT scores of a recent freshman class at a university were normally distributed with μ=535 and σ=100.

Answer 8

(b)

To determine

The minimum score needed to be in the top 10% of the class, where the Math SAT scores of a recent freshman class at a university were normally distributed with μ=535 and σ=100.

Answer 9

(b)

To determine

The minimum score needed to be in the top 10% of the class, where the Math SAT scores of a recent freshman class at a university were normally distributed with μ=535 and σ=100.

Answer 10

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Answer 11

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Answer 12

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Answer 13

Ch. 12.1 - Compute the expected value and the variance of the...Ch. 12.1 - Prob. 2CYU Ch. 12.1 - Prob. 1E Ch. 12.1 - Prob. 2E Ch. 12.1 - Prob. 3E Ch. 12.1 - Prob. 4E Ch. 12.1 - Prob. 5E Ch. 12.1 - Probability Table, Expected Value The number of...Ch. 12.1 - Prob. 7E Ch. 12.1 - Prob. 8E

Thepercentage of the scores between 500 and 600 , where the Math SAT scores of a recent freshman class at a university were normally distributed with μ = 535 and σ = 100 .

Solution Summary: The author explains that the percentage of the scores between 500 and 600 is 37.90%.

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Thepercentage of the scores between 500 and 600, where the Math SAT scores of a recent freshman class at a university were normally distributed with μ=535 and σ=100.

The minimum score needed to be in the top 10% of the class, where the Math SAT scores of a recent freshman class at a university were normally distributed with μ=535 and σ=100.

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