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\begin{tabular}{|c|c|c|c|}
\hline & & & \\
\hline Cantaloupe & 93 & 16 & 109 \\
\hline Not Cantaloupe & 66 & 25 & 91 \\
\hline Total & 159 & 41 & 200 \\
\hline
\end{tabular}

Which is the marginal relative frequency for the people who do not like cantaloupe?

A. [tex]$\frac{25}{91}$[/tex]

B. [tex]$\frac{66}{200}$[/tex]

C. [tex]$\frac{91}{200}$[/tex]

D. [tex]$\frac{66}{91}$[/tex]


Sagot :

To find the marginal relative frequency for the people who do not like cantaloupe, you need to use the appropriate values from the table provided.

1. Identify the total number of people who do not like cantaloupe:
- According to the table, the total number of people who do not like cantaloupe is 91.

2. Identify the total number of people surveyed:
- From the table, the total number of people surveyed is 200.

3. Calculate the marginal relative frequency:
- The marginal relative frequency is the number of people who do not like cantaloupe divided by the total number of people surveyed.
- This can be calculated as:

[tex]\[ \text{Marginal Relative Frequency} = \frac{\text{Number of people who do not like cantaloupe}}{\text{Total number of people surveyed}} = \frac{91}{200} \][/tex]

4. Simplify (if necessary) and interpret:
- The division of 91 by 200 results in 0.455 or 45.5%.

Thus, the marginal relative frequency for the people who do not like cantaloupe is [tex]\(\frac{91}{200}\)[/tex].

So, the correct answer is:
[tex]\[ \frac{91}{200} \][/tex]