A study is performed by a company, called SWVic, to understand the relationship between the safety factors and the number of accidents in works involve electrical and mechanical installations. A list of factors that influence the safety along with their possible values, and a Bayesian network that represents the relationship between these factors $($variables$)$ are given below. $($Number of Accidents$)$ in $\{$ Low, High $\}($Work experience$)$ in $\{$ Long, Medium, short $\}($Smoking habit $)$ in $\{$ Smoking, Not$-$smoking $\}$ D $($Drinking habit$)$ in $\{$ Drinking, Not$-$drinking A $($Safety Attitude$)$ in $\{$ Good, Average, Poor $\}($Workmate Influence$)$ in $\{$ Positive, Neutral, Negative $\}$ Page $2$ of $13($Management Commitment$)$ in $\{$ Very$-$high, High, Average, Low, Very$-$low $\}($Safety resources$)$ in $\{$ Good, Average, Poor $\}$Figure $12\mathrm{.}1)$ Write down the joint distribution P$($W$,$ E$,$ S$,$ M$,$ A$,$ D$,$ R$,$ N$)$ for the above network. $2\mathrm{.}2)$ Find the minimum number of parameters required to fully specify the distribution according to the above network. $2\mathrm{.}3)$ a$)$ Write down a joint probability density function if there are no independence among the variables is assumed. b$)$ How many parameters are required, at a minimum, if there are no independencies among the variables is assumed? c$)$ Compare with the result of the above question $($Q$2\mathrm{.}2)$ and comment.