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Chapter 7: Normal Probability Distributions 7.1 Heights of 10-year-olds. Heights of 10-year-old male children follow a Normal distribution with u=138 centimeters and o = 7 centimeters. Create a sketch of a Normal curve depicting this distribution. Mark the horizontal axis with values that are one standard deviation above and below the mean. (Locate points of inflection on the curve as accurately as possible.) Then, use the 68-95-99.7 rule to determine the middle 68% of values. 1. What percent of values fall below this range? What percent fall above this range? A. 32%; 32% B. 16%; 16% C. 8%; 8% 7.2 Height of 10-year-olds. This exercise continues the work we began in the prior exercise. 2. What range of values will capture the middle 95% of heights? How tall are the tallest 2.5%? A. (131, 145); Above 145 B. (124, 152); Above 152 C. (117, 159); Above 159

Chapter 7: Normal Probability Distributions 7.1 Heights of 10-year-olds. Heights of 10-year-old male children follow a Normal distribution with u=138 centimeters and o = 7 centimeters. Create a sketch of a Normal curve depicting this distribution. Mark the horizontal axis with values that are one standard deviation above and below the mean. (Locate points of inflection on the curve as accurately as possible.) Then, use the 68-95-99.7 rule to determine the middle 68% of values. 1. What percent of values fall below this range? What percent fall above this range? A. 32%; 32% B. 16%; 16% C. 8%; 8% 7.2 Height of 10-year-olds. This exercise continues the work we began in the prior exercise. 2. What range of values will capture the middle 95% of heights? How tall are the tallest 2.5%? A. (131, 145); Above 145 B. (124, 152); Above 152 C. (117, 159); Above 159

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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> > M y 1 < Back B. 16%; 16% C. 8%; 8% Chapter 7: Normal Probability Distributions 7.1 Heights of 10-year-olds. Heights of 10-year-old male children follow a Normal distribution with μ =138 centimeters and o = 7 centimeters. Create a sketch of a Normal curve depicting this distribution. Mark the horizontal axis with values that are one standard deviation above and below the mean. (Locate points of inflection on the curve as accurately as possible.) Then, use the 68-95-99.7 rule to determine the middle 68% of values. 1. What percent of values fall below this range? What percent fall above this range? A. 32%; 32% 4. Pr(Z >-0.64) A. 0.2611 7.2 Height of 10-year-olds. This exercise continues the work we began in the prior exercise. 2. What range of values will capture the middle 95% of heights? How tall are the tallest 2.5%? A. (131, 145); Above 145 B. (124, 152); Above 152 C. (117, 159); Above 159 7.4 Standard Normal probabilities. Use Table B to find the probabilities listed here. In each instance, sketch the Normal curve and shade the area under the curve associated with the probability. 3. Pr(Z <-0.64) A. 0.2611 5. Pr(Z < 1.65) A. 0.2611 HW_Chapter07.pdf 7. What proportion A. 0.9564 B. 0.9505 6. Pr(-0.64 <Z < 1.65) A. 0.2611 8. What proportion A. 0.9564 B. 0.9505 B. 0.9505 B. 0.9505 B. 0.6141 C. 0.7389 is less than B. 0.6141 C. 0.7389 C. 0.7389 C. 0.7389 D. 0.6894 7.5 Heights of 10-year-old boys. We've established that heights of 10-year-old boys vary according to a Normal distribution with μ =138 cm and a = 7 cm. ation is less than 150 cm tall? C. 0.5214 D. 0.3423 140 cm in height? C. 0.5214 D. 0.6894 D D. 0.6894 D. 0.6894 66% D. 0.3423
Transcribed Image Text:> > M y 1 < Back B. 16%; 16% C. 8%; 8% Chapter 7: Normal Probability Distributions 7.1 Heights of 10-year-olds. Heights of 10-year-old male children follow a Normal distribution with μ =138 centimeters and o = 7 centimeters. Create a sketch of a Normal curve depicting this distribution. Mark the horizontal axis with values that are one standard deviation above and below the mean. (Locate points of inflection on the curve as accurately as possible.) Then, use the 68-95-99.7 rule to determine the middle 68% of values. 1. What percent of values fall below this range? What percent fall above this range? A. 32%; 32% 4. Pr(Z >-0.64) A. 0.2611 7.2 Height of 10-year-olds. This exercise continues the work we began in the prior exercise. 2. What range of values will capture the middle 95% of heights? How tall are the tallest 2.5%? A. (131, 145); Above 145 B. (124, 152); Above 152 C. (117, 159); Above 159 7.4 Standard Normal probabilities. Use Table B to find the probabilities listed here. In each instance, sketch the Normal curve and shade the area under the curve associated with the probability. 3. Pr(Z <-0.64) A. 0.2611 5. Pr(Z < 1.65) A. 0.2611 HW_Chapter07.pdf 7. What proportion A. 0.9564 B. 0.9505 6. Pr(-0.64 <Z < 1.65) A. 0.2611 8. What proportion A. 0.9564 B. 0.9505 B. 0.9505 B. 0.9505 B. 0.6141 C. 0.7389 is less than B. 0.6141 C. 0.7389 C. 0.7389 C. 0.7389 D. 0.6894 7.5 Heights of 10-year-old boys. We've established that heights of 10-year-old boys vary according to a Normal distribution with μ =138 cm and a = 7 cm. ation is less than 150 cm tall? C. 0.5214 D. 0.3423 140 cm in height? C. 0.5214 D. 0.6894 D D. 0.6894 D. 0.6894 66% D. 0.3423
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