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### Analyzing Touchdown Scores in Division 1A Football Teams #### Stem-and-Leaf Plot for Touchdowns Scored Below is a stem-and-leaf plot representing the number of touchdowns scored by various Division 1A football teams. ``` Stem-and-Leaf Plot: 1 | 3 4 5 7 8 8 2 | 0 1 2 2 3 4 5 7 8 8 9 3 | 0 0 1 1 1 2 2 3 3 4 4 4 5 5 7 7 8 9 4 | 0 0 1 1 2 2 2 3 3 4 5 5 5 5 5 6 7 8 8 9 5 | 0 2 3 5 5 7 8 6 | 1 3 6 7 7 | 8 | 7 ``` **Key Explanation:** - The key `1|5 = 15` indicates that the stem represents the first digit(s) while the leaf represents the last digit. #### Probability Calculations Using the information in the stem-and-leaf plot, we can calculate several probabilities related to the touchdown data. **(a) Probability of Scoring at Least 32 Touchdowns:** - To find this probability, we count the number of teams that scored 32 or more touchdowns. - Total number of leaves = 70. - Number of leaves representing 32 or more touchdowns = 70 - (number of teams scoring below 32) = 70 - 24 = 46. - Probability (scored 32 or more touchdowns) = 46 / 70 ≈ 0.651 (rounded to three decimal places). **(b) Probability of Scoring Between 40 and 49 Touchdowns (inclusive):** - Count the leaves between 40 and 49 touchdowns = 17. - Probability = 17 / 70 ≈ 0.254 (rounded to three decimal places). **(c) Probability of Scoring More Than 70 Touchdowns:** - Count the number of teams with more than 70 touchdowns. - There is only one team, represented by the leaf `7` in the stem `8`. - Probability = 1 / 70

### Analyzing Touchdown Scores in Division 1A Football Teams #### Stem-and-Leaf Plot for Touchdowns Scored Below is a stem-and-leaf plot representing the number of touchdowns scored by various Division 1A football teams. ``` Stem-and-Leaf Plot: 1 | 3 4 5 7 8 8 2 | 0 1 2 2 3 4 5 7 8 8 9 3 | 0 0 1 1 1 2 2 3 3 4 4 4 5 5 7 7 8 9 4 | 0 0 1 1 2 2 2 3 3 4 5 5 5 5 5 6 7 8 8 9 5 | 0 2 3 5 5 7 8 6 | 1 3 6 7 7 | 8 | 7 ``` **Key Explanation:** - The key `1|5 = 15` indicates that the stem represents the first digit(s) while the leaf represents the last digit. #### Probability Calculations Using the information in the stem-and-leaf plot, we can calculate several probabilities related to the touchdown data. **(a) Probability of Scoring at Least 32 Touchdowns:** - To find this probability, we count the number of teams that scored 32 or more touchdowns. - Total number of leaves = 70. - Number of leaves representing 32 or more touchdowns = 70 - (number of teams scoring below 32) = 70 - 24 = 46. - Probability (scored 32 or more touchdowns) = 46 / 70 ≈ 0.651 (rounded to three decimal places). **(b) Probability of Scoring Between 40 and 49 Touchdowns (inclusive):** - Count the leaves between 40 and 49 touchdowns = 17. - Probability = 17 / 70 ≈ 0.254 (rounded to three decimal places). **(c) Probability of Scoring More Than 70 Touchdowns:** - Count the number of teams with more than 70 touchdowns. - There is only one team, represented by the leaf `7` in the stem `8`. - Probability = 1 / 70

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Analyzing Touchdown Scores in Division 1A Football Teams #### Stem-and-Leaf Plot for Touchdowns Scored Below is a stem-and-leaf plot representing the number of touchdowns scored by various Division 1A football teams. ``` Stem-and-Leaf Plot: 1 | 3 4 5 7 8 8 2 | 0 1 2 2 3 4 5 7 8 8 9 3 | 0 0 1 1 1 2 2 3 3 4 4 4 5 5 7 7 8 9 4 | 0 0 1 1 2 2 2 3 3 4 5 5 5 5 5 6 7 8 8 9 5 | 0 2 3 5 5 7 8 6 | 1 3 6 7 7 | 8 | 7 ``` **Key Explanation:** - The key `1|5 = 15` indicates that the stem represents the first digit(s) while the leaf represents the last digit. #### Probability Calculations Using the information in the stem-and-leaf plot, we can calculate several probabilities related to the touchdown data. **(a) Probability of Scoring at Least 32 Touchdowns:** - To find this probability, we count the number of teams that scored 32 or more touchdowns. - Total number of leaves = 70. - Number of leaves representing 32 or more touchdowns = 70 - (number of teams scoring below 32) = 70 - 24 = 46. - Probability (scored 32 or more touchdowns) = 46 / 70 ≈ 0.651 (rounded to three decimal places). **(b) Probability of Scoring Between 40 and 49 Touchdowns (inclusive):** - Count the leaves between 40 and 49 touchdowns = 17. - Probability = 17 / 70 ≈ 0.254 (rounded to three decimal places). **(c) Probability of Scoring More Than 70 Touchdowns:** - Count the number of teams with more than 70 touchdowns. - There is only one team, represented by the leaf `7` in the stem `8`. - Probability = 1 / 70
Transcribed Image Text:### Analyzing Touchdown Scores in Division 1A Football Teams #### Stem-and-Leaf Plot for Touchdowns Scored Below is a stem-and-leaf plot representing the number of touchdowns scored by various Division 1A football teams. ``` Stem-and-Leaf Plot: 1 | 3 4 5 7 8 8 2 | 0 1 2 2 3 4 5 7 8 8 9 3 | 0 0 1 1 1 2 2 3 3 4 4 4 5 5 7 7 8 9 4 | 0 0 1 1 2 2 2 3 3 4 5 5 5 5 5 6 7 8 8 9 5 | 0 2 3 5 5 7 8 6 | 1 3 6 7 7 | 8 | 7 ``` **Key Explanation:** - The key `1|5 = 15` indicates that the stem represents the first digit(s) while the leaf represents the last digit. #### Probability Calculations Using the information in the stem-and-leaf plot, we can calculate several probabilities related to the touchdown data. **(a) Probability of Scoring at Least 32 Touchdowns:** - To find this probability, we count the number of teams that scored 32 or more touchdowns. - Total number of leaves = 70. - Number of leaves representing 32 or more touchdowns = 70 - (number of teams scoring below 32) = 70 - 24 = 46. - Probability (scored 32 or more touchdowns) = 46 / 70 ≈ 0.651 (rounded to three decimal places). **(b) Probability of Scoring Between 40 and 49 Touchdowns (inclusive):** - Count the leaves between 40 and 49 touchdowns = 17. - Probability = 17 / 70 ≈ 0.254 (rounded to three decimal places). **(c) Probability of Scoring More Than 70 Touchdowns:** - Count the number of teams with more than 70 touchdowns. - There is only one team, represented by the leaf `7` in the stem `8`. - Probability = 1 / 70
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