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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}

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



Answer :

GinnyAnswer
Let's solve the problem step by step.

1. Identify the total number of survey participants:
The total number of people surveyed is given as 200.

2. Determine the number of people who do not like cantaloupe:
According to the table, the total number of people who do not like cantaloupe is 91.

3. Calculate the marginal relative frequency:
The marginal relative frequency is determined by dividing the number of people who do not like cantaloupe by the total number of survey participants.
[tex]\[ \text{Marginal Relative Frequency} = \frac{\text{Number of people who do not like cantaloupe}}{\text{Total number of people surveyed}} \][/tex]
[tex]\[ \text{Marginal Relative Frequency} = \frac{91}{200} \][/tex]
The resulting marginal relative frequency is:
[tex]\[ 0.455 \][/tex]

Hence, the marginal relative frequency for the people who do not like cantaloupe is [tex]\( 0.455 \)[/tex] or 45.5%.

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