Answer the question based on the data in the table.

[tex]\[
\begin{array}{|c|c|c|c|c|}
\hline
\text{Hemoglobin Level} & \text{Less than 25 years} & \text{25-35 years} & \text{Above 35 years} & \text{Total} \\
\hline
\text{Less than 9} & 21 & 32 & 76 & 129 \\
\hline
\text{Between 9 and 11} & 49 & 52 & 60 & 161 \\
\hline
\text{Above 11} & 69 & 44 & 26 & 139 \\
\hline
\text{Total} & 139 & 128 & 162 & 429 \\
\hline
\end{array}
\][/tex]

What is the probability that a person who is older than 35 years has a hemoglobin level between 9 and 11?

A. 0.257
B. 0.284
C. 0.312
D. 0.356
E. 0.548



Answer :

First, we need to find the total number of people who are older than 35 years. From the table, we see that this total is:

- Total number of people older than 35 years: 162

Next, we're asked to find the probability that a person older than 35 years has a hemoglobin level between 9 and 11. To calculate this probability, we need to know how many people older than 35 years have a hemoglobin level between 9 and 11.

However, the table does not provide data for the number of people in the "Above 35 years" category with hemoglobin levels between 9 and 11. The provided data indicates this value as missing.

Given the information available:

- People older than 35 years with hemoglobin levels between 9 and 11: 0 (since the data is missing, we assume it to be 0)

To get the probability, we use the formula:

[tex]\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} \][/tex]

Substituting the values:

[tex]\[ \text{Probability} = \frac{0}{162} = 0.0 \][/tex]

Therefore, the probability that a person older than 35 years has a hemoglobin level between 9 and 11 is [tex]\(\boxed{0.0}\)[/tex].