Chapter 1.1, Problem 33E

To determine

To find: Two different sets of counts $a,b,c,$ and $d$

Answer to Problem 33E

$20$	$30$	$50$			$40$	$10$	$50$
$40$	$10$	$50$			$20$	$30$	$50$
$60$	$40$	$100$			$60$	$40$	$100$

$10$	$40$	$50$			$50$	$0$	$50$
$50$	$0$	$50$			$10$	$40$	$50$
$60$	$40$	$100$			$60$	$40$	$100$

Explanation of Solution

Given:

$a$	$b$	$50$
$c$	$d$	$50$
$60$	$40$	$100$

A different set of count $a,b,c,$ and $d$ for body of the table that gives same totals is below:

$a$	$b$	$50$			$30$	$20$	$50$
$c$	$d$	$50$			$30$	$20$	$50$
$60$	$40$	$100$			$60$	$40$	$100$

$20$	$30$	$50$			$40$	$10$	$50$
$40$	$10$	$50$			$20$	$30$	$50$
$60$	$40$	$100$			$60$	$40$	$100$

$10$	$40$	$50$			$50$	$0$	$50$
$50$	$0$	$50$			$10$	$40$	$50$
$60$	$40$	$100$			$60$	$40$	$100$

This explains that the relationship between two variables cannot be obtained from the two individuals variables.

Conclusion:

Thus, the two different set of counts have found.