Question

which could be a conditional relative frequency table? a b total c 0.25 0.25 0.50 d 0.25 0.25 0.50 total 0.50 0.50 1.0 a b total c 0.25 0.75 1.0 d 0.35 0.65 1.0 total 0.30 0.70 1.0 a b total c 0.75 0.25 0.50

Explanation:

Step1: Recall the property of conditional relative frequency table

In a conditional relative frequency table, the sum of the relative frequencies for each row (when conditional on rows) or each column (when conditional on columns) should be \(1.0\).

Step2: Check the first table

In the first table, for row \(C\): \(0.25 + 0.25=0.5
eq1\), for row \(D\): \(0.25 + 0.25 = 0.5
eq1\). So it is not a conditional relative - frequency table.

Step3: Check the second table

For row \(C\): \(0.25+0.75 = 1.0\), for row \(D\): \(0.35 + 0.65=1.0\).

Step4: Check the third table

For row \(C\): \(0.75+0.25 = 1.0\), but the total of the row \(C\) is \(0.50
eq1.0\) (violates the structure of conditional relative - frequency table where row or column totals should be \(1.0\) for conditional cases)

Answer:

The second table (where for row \(C\): \(0.25 + 0.75=1.0\) and for row \(D\): \(0.35 + 0.65 = 1.0\)) is the conditional relative frequency table.