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QUESTION IMAGE

the table shows the results of a survey of 200 randomly selected people…

Question

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

preferences for types of melon

watermelonnot watermelontotal
not cantaloupe662591
total15941200

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

Explanation:

Step1: Recall Marginal Relative Frequency

Marginal relative frequency is calculated as the ratio of the marginal total (row or column total) to the grand total. For the "Not Cantaloupe" row, the marginal total is 91, and the grand total is 200.

Step2: Calculate the Frequency

The formula for marginal relative frequency is $\frac{\text{Marginal Total}}{\text{Grand Total}}$. Substituting the values, we get $\frac{91}{200}$.

Step3: Simplify the Fraction (Optional)

$\frac{91}{200} = 0.455$.

Answer:

The marginal relative frequency for people who do not like cantaloupe is $\frac{91}{200}$ (or 0.455).