To determine the probability that a person who is older than 35 years has a hemoglobin level between 9 and 11, we need to follow these steps:
1. Identify the relevant data:
- The total number of people who are above 35 years old is given as 162.
- The number of people above 35 years with hemoglobin levels between 9 and 11 is given as 40.
2. Calculate the probability:
- The probability of an event is given by the number of favorable outcomes divided by the total number of possible outcomes.
- In this case, the probability [tex]\( P \)[/tex] that a person who is older than 35 years has a hemoglobin level between 9 and 11 is calculated as:
[tex]\[
P = \frac{\text{Number of people above 35 with hemoglobin level between 9 and 11}}{\text{Total number of people above 35}}
\][/tex]
- Plugging in the numbers:
[tex]\[
P = \frac{40}{162}
\][/tex]
3. Simplify and approximate the probability:
- When you simplify [tex]\(\frac{40}{162}\)[/tex], you get approximately 0.24691358024691357.
4. Select the nearest given option:
- The calculated probability 0.24691358024691357 is closest to the option 0.257.
Therefore, the correct answer is:
A. 0.257
