The browsing pattern of Internet users can be modeled as a Markov Chain in which the states are different websites $($or classes of website$)$ and transitions correspond to users moving from one site to another. Consider a simple model in which the web sites are grouped into three classes, namely Class $1$: Social media $($Facebook$,$ Twitter$)$ and e$-$mail $($Gmail$,$ Outlook$),$ Class $2$: News and sports $($NYTimes$,$ CNN$)$ Class $3$: Online retailers $($Amazon$,$ Yahoo$-$Shopping$)$ and Others. The transitions between these $3$ classes are shown in Figure $1.$ Answer the following questions $1.$ Write down the one$-$step state transition probability matrix. $2.$ If you are an advertiser, which class of website would you like to advertise the most?