A stem-and-leaf plot for the number of touchdowns scored by all Division 1A football teams is shown below. Complete parts (a) through (c). 1345788 Key: 115 = 15 201223457889 3001112233445577789 40012234555567889 50 235578 61367 7 87 (a) If a team is selected at random, find the probability the team scored at least 34 touchdowns. (Round to three decimal places as needed.) re
A stem-and-leaf plot for the number of touchdowns scored by all Division 1A football teams is shown below. Complete parts (a) through (c). 1345788 Key: 115 = 15 201223457889 3001112233445577789 40012234555567889 50 235578 61367 7 87 (a) If a team is selected at random, find the probability the team scored at least 34 touchdowns. (Round to three decimal places as needed.) re
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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![### Stem and Leaf Plot Analysis - Division 1A Football Teams
#### Stem-and-Leaf Plot for Touchdowns Scored
A stem-and-leaf plot representing the number of touchdowns scored by various Division 1A football teams is displayed below.
The key for the plot is:
\[ \text{1|5} = 15 \]
**Plot Data:**
```
1 | 3 4 5 7 8 8
2 | 0 1 2 2 3 4 5 7 8 9
3 | 0 0 1 1 1 2 2 3 3 4 4 5 5 5 7 7 8 9
4 | 0 0 1 1 2 3 4 5 5 5 5 6 7 8 8 9
5 | 0 2 3 5 7 8
6 | 1 3 6 7
7 |
8 | 7
```
#### Questions and Solutions
(a) **Probability of Scoring At Least 34 Touchdowns:**
To find the probability that a randomly selected team has scored at least 34 touchdowns, follow these steps:
1. Identify all entries where the score is 34 or greater.
2. Count the total number of such entries.
3. Count the total number of entries in the plot.
4. Compute the probability by dividing the number of "34 or greater" entries by the total number of entries.
5. Round the answer to three decimal places as needed.
**Entries of 34 or greater:**
```
In the 3 | stem: 4 5 5 5 7 7 8 9
In the 4 | stem: 0 0 1 1 2 3 4 5 5 5 5 6 7 8 8 9
In the 5 | stem: 0 2 3 5 7 8
In the 6 | stem: 1 3 6 7
In the 8 | stem: 7
```
**Count of touchdown scores 34 or greater:**
Total = 32
**Total number of entries:**
Total = 54
**Probability Calculation:**
\[ P(\text{Touchdowns](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F20a0be3e-3983-4420-aed0-1c62c53b9b01%2F635359e7-8040-42b9-8632-05fd701e9836%2F8pu7f99_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Stem and Leaf Plot Analysis - Division 1A Football Teams
#### Stem-and-Leaf Plot for Touchdowns Scored
A stem-and-leaf plot representing the number of touchdowns scored by various Division 1A football teams is displayed below.
The key for the plot is:
\[ \text{1|5} = 15 \]
**Plot Data:**
```
1 | 3 4 5 7 8 8
2 | 0 1 2 2 3 4 5 7 8 9
3 | 0 0 1 1 1 2 2 3 3 4 4 5 5 5 7 7 8 9
4 | 0 0 1 1 2 3 4 5 5 5 5 6 7 8 8 9
5 | 0 2 3 5 7 8
6 | 1 3 6 7
7 |
8 | 7
```
#### Questions and Solutions
(a) **Probability of Scoring At Least 34 Touchdowns:**
To find the probability that a randomly selected team has scored at least 34 touchdowns, follow these steps:
1. Identify all entries where the score is 34 or greater.
2. Count the total number of such entries.
3. Count the total number of entries in the plot.
4. Compute the probability by dividing the number of "34 or greater" entries by the total number of entries.
5. Round the answer to three decimal places as needed.
**Entries of 34 or greater:**
```
In the 3 | stem: 4 5 5 5 7 7 8 9
In the 4 | stem: 0 0 1 1 2 3 4 5 5 5 5 6 7 8 8 9
In the 5 | stem: 0 2 3 5 7 8
In the 6 | stem: 1 3 6 7
In the 8 | stem: 7
```
**Count of touchdown scores 34 or greater:**
Total = 32
**Total number of entries:**
Total = 54
**Probability Calculation:**
\[ P(\text{Touchdowns
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