a$)$ Devise two example tasks of your own that fit into the MDP framework, identifying for each its states, its actions and rewards. Make the examples as different from each other as possible. $($b$)$ In the following two cases you will find the reward sequences $($Starting from R$1)$ is given. You should find the Return $($G$,$ and G$)$ in each case. Assume the y $=0\mathrm{.}8$ in both cases. i$)$ An episodic task with T$=$S$.$ The rewards received are R$=1,$ R$2,$ R$=6$R$=3$ and R$=2$ ii$)$ A continuing task with R$=2$ followed by an infinite sequence of $0\text{'}$s$.$ iii$)$ Write down the complete expression for either v$($s$)$ or q$($sa$)$