$($c$)$ The following dataset contains $8$ transactions of $7$ items: apple, bread, carrot, donut, egg, fish, and ham. $($Note that this dataset is also used in some later questions.$)[7]$

$$ T$0$: apple, bread, carrot, donut

$$ T$1$: apple, bread, donut, fish, egg

$$ T$2$: apple, bread, egg, fish

$$ T$3$: donut, carrot, ham

$$ T$4$: bread, donut, egg

$$ T$5$: apple, bread, donut, egg

$$ T$6$: apple, bread, egg, ham

$$ T$7$: carrot, egg, ham Calculate:

$($i$)$ support$(\{$apple$\})$

$($ii$)$ support$(\{$egg$\})$

$($iii$)$ support$(\{$apple$,$ egg$\})$

$($iv$)$ confidence$(\{$apple$\}=>\{$egg$\})$

$($v$)$ confidence$(\{$egg$\}=>\{$apple$\})$