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}
[tex]$25-35$[/tex] \\
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 & 46 & 147 \\
\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 above 35 years old has a hemoglobin level of 9 or above?

A. 0.357
B. 0.313
C. 0.531
D. 0.343
E. 0.432



Answer :

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. Identify the number of people above 35 years old with a hemoglobin level of less than 9:
According to the table, the number of people above 35 years old with a hemoglobin level of less than 9 is 76.

3. Calculate the number of people above 35 years old with a hemoglobin level of 9 or above:
To determine this, subtract the number of people with a hemoglobin level of less than 9 from the total number of people above 35 years old:
[tex]\[ \text{Number of people with hemoglobin level of 9 or above} = \text{Total above 35} - \text{Hemoglobin less than 9} \][/tex]
[tex]\[ \text{Number of people with hemoglobin level of 9 or above} = 162 - 76 = 86 \][/tex]

4. Calculate the probability:
The probability is calculated as the number of people above 35 years old with a hemoglobin level of 9 or above divided by the total number of people above 35 years old:
[tex]\[ \text{Probability} = \frac{\text{Number of people with hemoglobin level of 9 or above}}{\text{Total above 35}} \][/tex]
[tex]\[ \text{Probability} = \frac{86}{162} \approx 0.531 \][/tex]

Therefore, the probability that a person who is above 35 years old has a hemoglobin level of 9 or above is approximately 0.531.

The correct answer is:
C. 0.531