For this problem, be sure to show the calculations you are making, in addition to your final answer. The current populations of the cities of Edmonds, Kenmore, Lynnwood, and Shoreline in Washington state are shown below in thousands of people. Population (in thousands) 60+ 56.752 42.767 40 38.511 23.093 20- Edmonds Kenmore Lynnwood Shoreline a. If 1 person is randomly selected from all the people in these four cities, what is the probability that the person is from Shoreline? b. If 1 person is randomly selected from all the people in these four cities, what is the probability that the person is from Shoreline OR from Kenmore? c. If 3 people are randomly selected from all the people in the four cities, what is the probability that the first two people are from Edmonds AND the last person is from Shoreline?
For this problem, be sure to show the calculations you are making, in addition to your final answer. The current populations of the cities of Edmonds, Kenmore, Lynnwood, and Shoreline in Washington state are shown below in thousands of people. Population (in thousands) 60+ 56.752 42.767 40 38.511 23.093 20- Edmonds Kenmore Lynnwood Shoreline a. If 1 person is randomly selected from all the people in these four cities, what is the probability that the person is from Shoreline? b. If 1 person is randomly selected from all the people in these four cities, what is the probability that the person is from Shoreline OR from Kenmore? c. If 3 people are randomly selected from all the people in the four cities, what is the probability that the first two people are from Edmonds AND the last person is from Shoreline?
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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Question
Answer A B C
![### Population Probability Problem Set
**Question 6:**
For this problem, be sure to **show the calculations** you are making, in addition to your final answer.
The current populations of the cities of Edmonds, Kenmore, Lynnwood, and Shoreline in Washington state are shown below in thousands of people.
**Population Graph:**
- The graph displays the population (in thousands) for each of the four cities.
- **Edmonds**: 42.767 thousand people
- **Kenmore**: 23.093 thousand people
- **Lynnwood**: 38.511 thousand people
- **Shoreline**: 56.752 thousand people
#### Questions and Problems:
**a.** If 1 person is randomly selected from all the people in these four cities, what is the probability that the person is from Shoreline?
**b.** If 1 person is randomly selected from all the people in these four cities, what is the probability that the person is from Shoreline OR from Kenmore?
**c.** If 3 people are randomly selected from all the people in the four cities, what is the probability that the first two people are from Edmonds AND the last person is from Shoreline?
### Detailed Analysis and Calculations
To solve these problems, we need to find the total population and use it to determine the probabilities.
**Total Population Calculation:**
\[
\text{Total Population} = 42.767 + 23.093 + 38.511 + 56.752 = 161.123 \text{ thousand people}
\]
**a. Probability that a randomly selected person is from Shoreline:**
\[
P(\text{Shoreline}) = \frac{\text{Population of Shoreline}}{\text{Total Population}} = \frac{56.752}{161.123}
\]
**b. Probability that a randomly selected person is from Shoreline OR Kenmore:**
\[
P(\text{Shoreline OR Kenmore}) = \frac{\text{Population of Shoreline} + \text{Population of Kenmore}}{\text{Total Population}} = \frac{56.752 + 23.093}{161.123}
\]
**c. Probability that the first two people are from Edmonds AND the last person is from Shoreline:**
\[
P(\text{First two from Edmond](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2de07fb2-0f01-400d-8693-07014f3d5927%2F16aea783-feff-4883-9e6e-23c441ba0699%2F5ytlnsp.png&w=3840&q=75)
Transcribed Image Text:### Population Probability Problem Set
**Question 6:**
For this problem, be sure to **show the calculations** you are making, in addition to your final answer.
The current populations of the cities of Edmonds, Kenmore, Lynnwood, and Shoreline in Washington state are shown below in thousands of people.
**Population Graph:**
- The graph displays the population (in thousands) for each of the four cities.
- **Edmonds**: 42.767 thousand people
- **Kenmore**: 23.093 thousand people
- **Lynnwood**: 38.511 thousand people
- **Shoreline**: 56.752 thousand people
#### Questions and Problems:
**a.** If 1 person is randomly selected from all the people in these four cities, what is the probability that the person is from Shoreline?
**b.** If 1 person is randomly selected from all the people in these four cities, what is the probability that the person is from Shoreline OR from Kenmore?
**c.** If 3 people are randomly selected from all the people in the four cities, what is the probability that the first two people are from Edmonds AND the last person is from Shoreline?
### Detailed Analysis and Calculations
To solve these problems, we need to find the total population and use it to determine the probabilities.
**Total Population Calculation:**
\[
\text{Total Population} = 42.767 + 23.093 + 38.511 + 56.752 = 161.123 \text{ thousand people}
\]
**a. Probability that a randomly selected person is from Shoreline:**
\[
P(\text{Shoreline}) = \frac{\text{Population of Shoreline}}{\text{Total Population}} = \frac{56.752}{161.123}
\]
**b. Probability that a randomly selected person is from Shoreline OR Kenmore:**
\[
P(\text{Shoreline OR Kenmore}) = \frac{\text{Population of Shoreline} + \text{Population of Kenmore}}{\text{Total Population}} = \frac{56.752 + 23.093}{161.123}
\]
**c. Probability that the first two people are from Edmonds AND the last person is from Shoreline:**
\[
P(\text{First two from Edmond
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