A levels are over!!! but...

somehow a tinge of sadness too. I shall make this post short before I go off to emo =x

How should I put this in words.. Well I guess I'm really thankful that the As are like FINALLY OVER after all the dry hours of studying, burning midnight oil and being zombified during the papers.. but unfortunately this also marks the end of the JC2 year..

Well, I'ld say the depression comes from the fact that as JC friends, we won't be seeing each other as often anymore, and for some, not at all (other than results day... ugh). Well, friends come and friends go, we all know that from our course of education for the past 12 years or so... But how should I put it.. it just doesn't seem to be like the ordinary: "Hey PSLE/O levels over! Ahahaha we're free! Cya next time!" For quite a number of my friends, the next time hasn't even come, not even now. Well except for some but only with the occassional hi wassup conversation on msn.

I don't even know what I'm typing now.. My mind's in a swirl right now, so much to say but yet so restricted with every letter or word that I punch in right now with my fingers...

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And I just stoned for five minutes thinking of what to write

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And another three minutes... Well my SDone, my CF friends, my OG, my all the other random friends whom I made in school, thank you for making this entire AC experience what it turned out to be. I'll never forget the times where we spent together chatting/playing/studying/doing all kind of stupid things be it in college or out of it. Maybe the days we spent together may have been taken for granted, since we would be so sure that we would see each other again someday in school somehow, but definitely not now. Even if we do go back to school hoping to see each other, it would never be the same as it was when we were still studying as one cohort.

Indeed, God has weaved His plan so intricately to bring us all together at the same place, at the same time, for the purpose that He had intended it to be. This journey through the two years has left a huge mark on my life and I'm sure it has to for you. Still, life has to go on, we can't keep looking back into the past wishing we can be back where we were. But that doesn't mean we can't look back into the past and appreciate the sweet memories that we have built up in our two years here in AC. Hmm... I'm feeling a little philosophical over here...

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I just stoned for another five minutes..!!! Maybe it is true that words are sometimes too inadequate a tool to express one's feelings: I'm certainly feeling that effect now. But well, to everyone but especially to SDone (yes I'm being biased here =p), thank you for supporting me through this two years in all aspects. I really appreciate all of you ^_^

Hmm, not so short a post, or is it? I don't know, I shall just stop typing since it feels as if most of what I'm typing is gibberish cause I'm really not thinking properly right now as you can see from this very paragraph where most of it doesn't really make sense so I should just stop typing this post for the sake of typing otherwise all subsequent paragraphs may end up being as monotonous, dry and meaningless like this one as if the previous ones weren't already and do you notice that this whole paragraph is made of of only two sentences?

Ok g'night people, God bless all of you abundantly =) Once again, thanks for making this whole experience such an awesome one =D

Exam thoughts

Just another random post cause I'm so BORED of studying.

Maths Chapter 18: Normal Distribution

The normal distribution is the most important distribution in statistical theory because it is a suitable model for a very large number of distributions of data. A continuous random variable X is said to have a normal distribution with mean mew and variance sigma square if X has probability function f(x) = whatever, where x is greater or equal to infinity.

Now assuming that I have a box of apples with mean mass 50g which is a large number in the eyes of maths, and standard deviation 20g, based on the graphic calculator, using normalcdf (-E99, 0, 50, 20), I am told that 0.6% of the apples i take out of the box, has a NEGATIVE weight.

Now isn't the normal distribution supposed to be a suitable model since weight is a continuous random variable where there is a probability that the apple's weight can go to inifinity due to variance?

Maths Chapter 19: Sampling, Central Limit Theorem

If X1, X2, ... , Xn are independent random variables, all having the same distribution with mean mew and variance sigma square, then the distribution of the sum, X1+ X2 + ... + Xn is approximately normal, for large values of n, (n>50) whatever the nature of distributions of X.

In other words, when applied to bio, stabalising selection, directional selection and disruptive selection will all result in the same final graph with a normal distribution since all organisms under considering are independent random variables, all have the same distribution and variance (since they are of the same habitat) and have large values (since non-endangered animals surely have a population size of more than 50), whatever the nature of their distribution.

Chapter 20: Hypothesis Testing, Example 3

To test H0: mew = 1.5 ohms against
H1: mew > 1.5 ohms at 0% level of significance (chosen by me since, by definition, if the level of significance is 0%, we will reject H0 when it should not be rejected 0% of the time)

Using GC, bar x = 1.52, s = 0.021213, t value = 2.108, p = 0.0513 > 0

Conclusion: Do not reject Ho and conclude that there is sufficient evidence at 0% level of significance that the wire is pure silver.

Now think about it. at 0% significance, you will reject Ho wrongly 0% of the time. That's better isn't it, so that no mistakes will be made. But wait! if you look at the graph, 0% probability means t value = 0. Meaning, regardless of whether you tested 100% silver 50% silver 1% silver or a ROCK, you will not reject it, because there is NO REJECTION AREA!!

My conclusion is that we are learning USELESS THINGS.

Ok that's enough. Back to learning all the nonsence