Answer the question based on the data in the table.

\begin{tabular}{|c|c|c|c|c|}
\hline \multirow{2}{*}{\begin{tabular}{c}
Hemoglobin \\
Level
\end{tabular}} & \multicolumn{4}{|c|}{ Person's Age } \\
\cline { 2 - 5 } & \begin{tabular}{c}
Less \\
than \\
25 \\
years
\end{tabular} & \begin{tabular}{c}
25-35 \\
years
\end{tabular} & \begin{tabular}{c}
Above 35 \\
years
\end{tabular} & Total \\
\hline Less than 9 & 21 & 32 & 76 & 129 \\
\hline \begin{tabular}{c}
Between 9 and \\
11
\end{tabular} & 49 & 52 & 44 & 145 \\
\hline Above 11 & 69 & 44 & 40 & 153 \\
\hline Total & 139 & 128 & 162 & 429 \\
\hline
\end{tabular}

Select the correct answer.

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 :

To find the probability that a person older than 35 years has a hemoglobin level between 9 and 11, we need to use the following approach:

1. Identify the total number of persons who are older than 35 years:
From the table, the total number of persons older than 35 years is 162.

2. Identify the number of persons older than 35 years with hemoglobin levels between 9 and 11:
This value seems to be missing from the table.

3. Calculate the probability:
The probability ([tex]\( P \)[/tex]) can be calculated using the formula:
[tex]\[ P(\text{hemoglobin level between 9 and 11 } | \text{ older than 35 years}) = \frac{\text{Number of persons older than 35 years with hemoglobin level 9-11}}{\text{Total number of persons older than 35 years}} \][/tex]

Given the numerical values:
- Number of persons older than 35 years with hemoglobin levels between 9 and 11 = 0
- Total number of persons older than 35 years = 162

So the probability is:
[tex]\[ P = \frac{0}{162} = 0.0 \][/tex]

Thus, the correct answer is:
None of the given options (A, B, C, D, E) correspond to the calculated probability, but according to the missing data and the calculations:
Given this query, we must select the correct closest value, yet the missing data makes finite answers with given options irrelevant.