Q$2.$ Underlying priced at $1000$ follows a uniform distribution with a MAD of $200.(15$ points$)$

Q$2$a$.$ What is the probability of option expiring ITM for a $1100$ PUT? $(3$ points$)$

Q$2$b$.$ What is the average underlying price when PUT expires ITM? $(3$ points$)$

Q$2$c$.$ What is the average PUT option payment conditional on that the PUT expires in the money? $(3$

points$)($note: this is asking for option payment NOT average stock price when option expires ITM$)$

Q$2$d$.$ How much should the PUT be priced at today based on Q$2$a and Q$2$c$?(3$ points$)$

Q$2$e$.$ Out of the price in Q$2$d$,$ how much of that is intrinsic value and how much is time value? $(3$

points$)$