Finally I'm blogging, now I'm in computer lab, just having had my second last exam this morning, which is a stochastic wizarding exam, also known as S.W.I.N.E. LOL
Well, the exam is of the theme Harry Potter, so stuff about the exam is all about Harry Potter!! Serious.
Well, the first question is about Professor Trelawney predicting about Harry's death. (Which of course, not unusual.) She predicted that there will be a dementors attack on Harry soon, where the number of Dementors appearing follows some distribution with mean 3. However, Harry is able to cast the Patronum spell (The Patronus is a stag, with N number of horns), the stag's horn varies everything, which follows a Poisson Distribution.. So Harry is required to find out what is the probability of surviving...
Then, Harry is teleported to Transfiguration class, (of course, he is doing the SWINE exam so he got teleported) where the professor asked us to answer stuff regarding a markov chain, which is all about the sequence of transformation of a teapot to various stuff: Snake, Silk purse, Sow's Ear etc...
Next, it's Professor Severus Snape's turn (well notice the initial SS), he asked Harry to create a PEARL potion before SWINE (potion =)). Ingrediants are to be added into a couldron, while the colour of the potion changes with 80% when Harry added an ingredient, coulour changes with 90% while the same ingredient is to be used. To pass the exam, Harry need to change the colour of the potion into a rainbow colour, which occurs 10% whenever the potion changes colour, and the potion might explode with a probability of 5% whenever the potion changes colour... Well, actually the couldron is jinx, which means Harry will never success in making the potion.. So how many explosions are there in the long run??
Suddenly the cauldron explode with a large smoke!! Now Harry is with Hagrid, so Harry has to perform 5 tasks for Hagrid, which is (I kinda forgot): kill Basilik, swim through the lake, Riddikulus a Boggart, differentiate btw Hippogriff, something-ended-skrewt, etc.. Lastly, he has to answer an IPP question while riding a Hungarian Horntail (a vicious dragon). Well, Harry can perform the task with a "pure death" process, which occurs with rate = 0.2x (where x is from 0 to 5)........
Phew, the dragon is vicious... and... Voldemort appears!!!! (Well, I can't really say his name here though) The Dark Lord casts Avada Kedavra!! and Harry counter, and Priori Incantenum occurs!! Well, the ray between the wands is actually a Brownian Bridge!! So harry has to concentrate on the point where Variability is highest to beat Voldemort!!! (OMG DONT SAY HIS NAMEEE!!!!!!!@111111223444)
Well, Voldemort realise about this and change it's spell to a Geometric Brownian Bridge... Hmmmm, so find the covariance of the thing... swt..
Finally, Harry appears on a Quiditch field!! He caught the Golden Snitch!! 150 free points!!!!!! YAY!! Wait, Umbridge came and deduct Harry's point by 145!! (WHY?? Because it's Umbridge).. However, still got 5 free marks, eh?
LOL, well, the minimum score for this exam is 5 =)
PS: Hope I don't screw up the exam =)