The budgeting process For a midwestern collage resulted in expense forcasts for the comming year in millions $$9,$ $$10,$ $$11,$ $$12,$ and $$13$ expenses are unknown so the following probablilities are assigned $\mathrm{.}3,\mathrm{.}2,\mathrm{.}05,\mathrm{.}25,$ and $\mathrm{.}2$

$($a$)$ Show the probability distribution for the expense forecast.

$\backslash$table$[[x,],[9,],[10,],[11,],[12,],[13,]]$

$($b$)$ What is the expected value $($in $ millions$)$ of the expense forecast for the coming year?

$EE$ million

$($c$)$ What is the variance of the expense forecast for the coming year?

$($d$)$ If income projections for the year are estimated at $$12$ million, comment on the financial position of the college. With this estimate, the college can expect a profit $($in $ million$)$ of $ million. From the assigned probability, there is chance that expenses will equal $$13$ million causing the college to run a $-$ Select$-.$