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To determine the probability that a person who is above 35 years old has a hemoglobin level of 9 or above, we need to analyze the data provided in the table and follow these steps:
1. Identify relevant values from the table:
The data concerns three hemoglobin levels ([tex]\(<9\)[/tex], 9-11, and [tex]\(>11\)[/tex]) across three age groups. We are interested in the age group "Above 35 years" and hemoglobin levels of 9 or above.
- Hemoglobin <9: 76 people
- Hemoglobin 9-11: 40 people
- Hemoglobin >11: 162 people
2. Calculate the total number of people above 35 years old:
Adding up the numbers from the above 35-year age group for all hemoglobin levels:
[tex]\[ \text{Total people above 35 years old} = 76 + 40 + 162 = 278 \][/tex]
3. Calculate the number of people above 35 years old with hemoglobin levels 9 or above:
Adding the numbers for those with hemoglobin levels of 9-11 and greater than 11:
[tex]\[ \text{People with hemoglobin } \geq 9 = 40 + 162 = 202 \][/tex]
4. Compute the probability:
Probability is the ratio of the number of people with hemoglobin levels 9 or above to the total number of people above 35 years old. Thus,
[tex]\[ \text{Probability} = \frac{\text{Number of people with hemoglobin levels } \geq 9}{\text{Total number of people above 35 years old}} = \frac{202}{278} \][/tex]
Given the result:
[tex]\[ \frac{202}{278} \approx 0.7266187050359713 \][/tex]
Therefore, the probability that a person who is above 35 years old has a hemoglobin level of 9 or above is approximately 0.727, which translates to 72.7%. Since this is not one of the answer choices provided, there may have been an error in the printing of the possible answers. The correct computation, however, is approximately 0.727.
1. Identify relevant values from the table:
The data concerns three hemoglobin levels ([tex]\(<9\)[/tex], 9-11, and [tex]\(>11\)[/tex]) across three age groups. We are interested in the age group "Above 35 years" and hemoglobin levels of 9 or above.
- Hemoglobin <9: 76 people
- Hemoglobin 9-11: 40 people
- Hemoglobin >11: 162 people
2. Calculate the total number of people above 35 years old:
Adding up the numbers from the above 35-year age group for all hemoglobin levels:
[tex]\[ \text{Total people above 35 years old} = 76 + 40 + 162 = 278 \][/tex]
3. Calculate the number of people above 35 years old with hemoglobin levels 9 or above:
Adding the numbers for those with hemoglobin levels of 9-11 and greater than 11:
[tex]\[ \text{People with hemoglobin } \geq 9 = 40 + 162 = 202 \][/tex]
4. Compute the probability:
Probability is the ratio of the number of people with hemoglobin levels 9 or above to the total number of people above 35 years old. Thus,
[tex]\[ \text{Probability} = \frac{\text{Number of people with hemoglobin levels } \geq 9}{\text{Total number of people above 35 years old}} = \frac{202}{278} \][/tex]
Given the result:
[tex]\[ \frac{202}{278} \approx 0.7266187050359713 \][/tex]
Therefore, the probability that a person who is above 35 years old has a hemoglobin level of 9 or above is approximately 0.727, which translates to 72.7%. Since this is not one of the answer choices provided, there may have been an error in the printing of the possible answers. The correct computation, however, is approximately 0.727.
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