In a survey conducted at a pet store, 150 customers were asked if they owned birds or fish. The survey data are shown in the relative frequency table.

\begin{tabular}{|c|c|c|c|}
\hline & Own a bird & \begin{tabular}{c}
Do not own a \\
bird
\end{tabular} & Total \\
\hline Own fish & 0.04 & 0.08 & \\
\hline Do not own fish & 0.02 & 0.86 & \\
\hline Total & & & \\
\hline
\end{tabular}

What percentage of the people surveyed own a bird?



Answer :

To determine the percentage of people who own a bird, we need to refer to the relative frequency values provided in the table and perform a series of calculations. Here is a step-by-step solution:

1. Identify the relative frequencies provided in the table:
- Own fish and own a bird: 0.04
- Do not own fish and own a bird: 0.02

2. Calculate the total relative frequency for owning a bird:
- We simply add the relative frequencies for the two groups:
[tex]\[ \text{Total relative frequency for owning a bird} = 0.04 + 0.02 = 0.06 \][/tex]

3. Convert the total relative frequency to a percentage:
- To convert the relative frequency to a percentage, multiply by 100:
[tex]\[ \text{Percentage of people who own a bird} = 0.06 \times 100 = 6.0\% \][/tex]

Therefore, 6.0% of the people surveyed own a bird.