$10$ Points In a certain town, the daily consumption of natural gas $($in millions of $m^3)$ follows approximately a gamma distribution with $=2$ and $=4.$ If the daily capacity of that town is $8$ million $m^3$ of natural gas, what is the probability that on any given day the natural gas supply is inadequate?

Belirli bir kasabada g$$nl$$k do$$al gaz t$$ketimi $($milyon $m^3$ olarak$)$ yakla$$k olarak $=2$ ve $=4$ olan bir gama da$$l$$m$$n$$ izlemektedir. E$$er bu kasaban$$n g$$nl$$k do$$al gaz kapasitesi $8$ milyon $m^3$ ise, herhangi bir g$$nde do$$al gaz arz$$n$$n yetersiz olma olas$$l$$ nedir? $q,$