Answered

Answer the following question based on the data in the table.

\begin{tabular}{|c|c|c|c|c|}
\hline
\multirow{2}{*}{\begin{tabular}{c}
Iron \\
Deficiency
\end{tabular}} & \multicolumn{4}{|c|}{Age} \\
\cline{2-5}
& \begin{tabular}{c}
Less than \\
20 years
\end{tabular} & [tex]$20-30$[/tex] years & Above 30 years & Total \\
\hline
Yes & 41 & 37 & 24 & 102 \\
\hline
No & 109 & 43 & 46 & 198 \\
\hline
Total & 150 & 80 & 70 & 300 \\
\hline
\end{tabular}

Select the correct answer:

What is the probability that a person with an iron deficiency is 20 years or older?

A. 0.23
B. 0.34
C. 0.60
D. 0.78



Answer :

To find the probability that a person with an iron deficiency is 20 years or older, we can follow these steps:

1. Identify the number of people with an iron deficiency who are 20 years or older:

From the table:
- The number of people with an iron deficiency aged 20-30 years is 37.
- The number of people with an iron deficiency aged above 30 years is 24.

Adding these two values gives us the total number of people with an iron deficiency who are 20 years or older:
[tex]\[ \text{Number of people with iron deficiency aged 20 or older} = 37 + 24 = 61 \][/tex]

2. Identify the total number of people with an iron deficiency:

From the table:
- The total number of people with an iron deficiency is given as 102.

3. Calculate the probability that a person with an iron deficiency is 20 years or older:

The probability is the ratio of the number of people with an iron deficiency who are 20 years or older to the total number of people with an iron deficiency:
[tex]\[ \text{Probability} = \frac{\text{Number of people with iron deficiency aged 20 or older}}{\text{Total number of people with iron deficiency}} = \frac{61}{102} \][/tex]

4. Simplify and interpret the result:

[tex]\[ \text{Probability} \approx 0.60 \][/tex]

Therefore, the correct answer is:
C. 0.60