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The table shows the results of a survey of 200 randomly selected people on whether they like watermelon, cantaloupe, or both.

\begin{tabular}{|c|c|c|c|}
\hline
\multicolumn{4}{|c|}{Preferences for Types of Melon} \\
\hline
& Watermelon & Not Watermelon & Total \\
\hline
Cantaloupe & 93 & 16 & 109 \\
\hline
Not Cantaloupe & 66 & 25 & 91 \\
\hline
Total & 159 & 41 & 200 \\
\hline
\end{tabular}

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

Sagot :

GinnyAnsweridn
To determine the marginal relative frequency for the people who do not like cantaloupe, follow these steps:

1. Identify the total number of people surveyed: According to the table, this total is 200 people.

2. Identify the number of people who do not like cantaloupe: From the table, we see that the number of people who do not like cantaloupe is 91.

3. Calculate the marginal relative frequency: The marginal relative frequency is calculated by dividing the number of people who do not like cantaloupe by the total number of people surveyed.

[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. Perform the division to find the relative frequency:

[tex]\[ \frac{91}{200} = 0.455 \][/tex]

Therefore, the marginal relative frequency for the people who do not like cantaloupe is 0.455.
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