Q.Using the bivariate frequency table constructed in Exercise 1, find the conditional distribution of $y$ given $x = 20$, and express it in relative form.

The conditional distribution of $y$ given $x=20$ is simply the row $x = 20$, read on its own and divided by its total.

Step 1 — Isolate the row $x = 20$ from Exercise 1's table.

Step 2 — Convert to relative form by dividing each frequency by the row total, 4:

Dividing by the grand total 10 instead of the row total 4 is the standard error, giving proportions that wrongly sum to $0.4$ rather than 1. Reading the column $y = 10$ instead of the row $x = 20$ would answer …