Probability Question #1
A man looks at his watch at a random time between mid-day and 1300H. What is the probability that the angle between the hands of the watch is less than ? Ans:
A man looks at his watch at a random time between mid-day and 1300H. What is the probability that the angle between the hands of the watch is less than ? Ans:
As many students will note, more and more questions these days have the ominous “Hence” word. They can heave a sigh of relief if they still see “or otherwise”. But if it [...]
This is a rather easy questions which stumped a good number of students initially. Hint: You must use integration by parts.
This questions is on vectors, in particular, finding the shortest distance of a point (0, 0, 3) to the plane. My student was able to do it but had a terrible careless mistake. But nevertheless, I [...]
Some of your school notes will mention and explain the definition of unbiased and consistency. But let us just discuss what unbiased means as we do see it quite often in A-level. What does its [...]
Two days ago, I was teaching correlation & regression to my students and a few of the are rather puzzled why the r-value is independent of any translation and scaling. Let us first look at [...]
A few days ago, I met up with some ex-students from class of 2014 who are awaiting their universities to start, for coffee. It was really heartwarming to see them, a couple of them are teaching [...]
This is an interesting question from ACJC’2014 Prelim Exam. I feel that it test a lot on students’ understanding of the normal distribution curve. The height , in centimetres, of a [...]
Many students have asked me about Mathematical Induction, like whats the idea behind it. Especially since I always emphasize the importance of . So lets try to make some sense of this long and [...]
If KS travels half the distance to the bus stop for every move, will he ever reach the bus stop? The answer is that I will never reach the bus stop, but could make arbitrarily close to it. This [...]