To determine the probability that a person who is above 35 years old has a hemoglobin level of 9 or above, we will follow these steps:
1. Identify the total number of people above 35 years old:
According to the table, the total number of people above 35 years old is 162.
2. Determine the number of people above 35 years old with a hemoglobin level of 9 or above:
- For hemoglobin levels between 9 and 11, the count is provided as 76 for people above 35 years old.
- For hemoglobin levels above 11, the count is 40 for people above 35 years old.
3. Calculate the total number of people above 35 years old with a hemoglobin level of 9 or above:
[tex]\[
\text{Total number with hemoglobin level 9 or above} = 76 + 40 = 116
\][/tex]
4. Compute the probability:
The probability that a person above 35 years old has a hemoglobin level of 9 or above is obtained by dividing the number of people with hemoglobin level 9 or above by the total number of people above 35 years old.
[tex]\[
\text{Probability} = \frac{116}{162}
\][/tex]
By simplifying the fraction, we get a probability value of approximately:
[tex]\[
\text{Probability} \approx 0.716
\][/tex]
Thus, the correct answer among the given options is not exactly listed, but based on the provided choices, the probability closest to 0.716 is not presented correctly. So, it would appear there might be an error in the given answer choices. However, from the accurate calculation, the correct probability is:
[tex]\[
0.716 \text{ or } 71.6\%
\][/tex]
