Answer :
To determine the order of individuals from the least to the greatest need for health insurance based on their probability of visiting a doctor for injury or illness this year, we will start by listing the given probabilities:
- 26-year-old female nonsmoker: [tex]\(14 \% \)[/tex]
- 18-year-old male athlete: [tex]\(16 \% \)[/tex]
- 32-year-old female nonsmoker: [tex]\(20 \% \)[/tex]
- 45-year-old male smoker: [tex]\(39 \% \)[/tex]
- 78-year-old male nonsmoker: [tex]\(53 \% \)[/tex]
- 65-year-old female smoker: [tex]\(76 \% \)[/tex]
Now, let's organize these profiles in ascending order according to their probability:
1. 26-year-old female nonsmoker: [tex]\(14 \% \)[/tex]
2. 18-year-old male athlete: [tex]\(16 \% \)[/tex]
3. 32-year-old female nonsmoker: [tex]\(20 \% \)[/tex]
4. 45-year-old male smoker: [tex]\(39 \% \)[/tex]
5. 78-year-old male nonsmoker: [tex]\(53 \% \)[/tex]
6. 65-year-old female smoker: [tex]\(76 \% \)[/tex]
Thus, the final ordered list from the least to the greatest need for health insurance is:
1. 26-year-old female nonsmoker
2. 18-year-old male athlete
3. 32-year-old female nonsmoker
4. 45-year-old male smoker
5. 78-year-old male nonsmoker
6. 65-year-old female smoker
- 26-year-old female nonsmoker: [tex]\(14 \% \)[/tex]
- 18-year-old male athlete: [tex]\(16 \% \)[/tex]
- 32-year-old female nonsmoker: [tex]\(20 \% \)[/tex]
- 45-year-old male smoker: [tex]\(39 \% \)[/tex]
- 78-year-old male nonsmoker: [tex]\(53 \% \)[/tex]
- 65-year-old female smoker: [tex]\(76 \% \)[/tex]
Now, let's organize these profiles in ascending order according to their probability:
1. 26-year-old female nonsmoker: [tex]\(14 \% \)[/tex]
2. 18-year-old male athlete: [tex]\(16 \% \)[/tex]
3. 32-year-old female nonsmoker: [tex]\(20 \% \)[/tex]
4. 45-year-old male smoker: [tex]\(39 \% \)[/tex]
5. 78-year-old male nonsmoker: [tex]\(53 \% \)[/tex]
6. 65-year-old female smoker: [tex]\(76 \% \)[/tex]
Thus, the final ordered list from the least to the greatest need for health insurance is:
1. 26-year-old female nonsmoker
2. 18-year-old male athlete
3. 32-year-old female nonsmoker
4. 45-year-old male smoker
5. 78-year-old male nonsmoker
6. 65-year-old female smoker