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The table shows the results from a survey of 335 randomly selected households with pets. This survey was conducted by a new pet store that is opening nearby.

\begin{tabular}{|l|l|l|l|}
\hline
& Have Children & Do Not Have Children & Total \\
\hline
1 pet & 38 & 53 & 91 \\
\hline
2 pets & 85 & 41 & 126 \\
\hline
3 or more pets & 46 & 72 & 118 \\
\hline
Total & 169 & 166 & 335 \\
\hline
\end{tabular}

The pet store uses the data to make decisions about inventory. Complete the given statement.

A customer is more likely to have 1 pet and no children than they are to have [tex]$\square$[/tex]

Sagot :

GinnyAnsweridn
To determine which comparison is true regarding the likelihood of having 1 pet and no children versus another scenario, we'll look at the probabilities.

Let's start by calculating the relevant probabilities from the survey data:

1. Probability of having 1 pet and no children:
- The number of households with 1 pet and no children: 53
- The total number of households surveyed: 335
- Probability = 53 / 335 ≈ 0.1582

2. Probability of having 2 pets and have children:
- The number of households with 2 pets and have children: 85
- The total number of households surveyed: 335
- Probability = 85 / 335 ≈ 0.2537

3. Probability of having 3 or more pets and have children:
- The number of households with 3 or more pets and have children: 46
- The total number of households surveyed: 335
- Probability = 46 / 335 ≈ 0.1373

Now, we compare the probability of having 1 pet and no children with the other scenarios:

- Comparing with 2 pets and have children:
- Probability of having 1 pet and no children (0.1582) < Probability of having 2 pets and have children (0.2537)

- Comparing with 3 or more pets and have children:
- Probability of having 1 pet and no children (0.1582) > Probability of having 3 or more pets and have children (0.1373)

Based on these comparisons, the correct completion for the statement is:

A customer is more likely to have 1 pet and no children than they are to have 3 or more pets and have children.

Thus, the completed statement is:
A customer is more likely to have 1 pet and no children than they are to have 3 or more pets and have children.
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