For the following question, use the figure and assume that R and the arules::apriori method was used to generate the output below.

R Output

Using the R generated association rule mining output table above, choose which of the follow statements is false.

Question $17$ options:

a$)$

Using the table and rule $3,$ we can calculate that the P$($Milk$)=\mathrm{.}8$

b$)$

If a person buys both beer and diapers, there is a more than random probability that they will also buy milk.

c$)$

Coke and milk can be considered to be associated.

d$)$

Here we see that rule $\{$Milk$\}->\{$Diaper$\}$ has a support of $\mathrm{.}6$ and a confidence of $\mathrm{.}75.$ Given that, we can calculate that P$($Milk$)$ is $\mathrm{.}9.$

e$)$

When comparing rules $5,6,$ and $7($the last three rules$),$ we can say that rule $7$ is the "strongest" of the three rules because it has the same support and confidence and a higher lift.