Tag: Binomial distribution

Learnt this week… 24 January
My friend and former colleague Adam Higgitt every Friday posts a list of “five things I have learned this week”. It’s popular and good fun – especially as Adam is not afraid of an argument if you challenge some of his claims. For a while I tried to do the same thing myself, but failed […]

More on error correction
Considering the chances of a decoding error (ie having more errors than our error correction code can handle)… where p is the probability of a bit flip and n the length of the code. So in our case that gives But we can also work out the possibility of k bit flips, using the binomial […]

The Gaussian distribution
When you hear the term “bell curve” what you are actually listening to is a discussion of the “normal” or “Gaussian” distribution. This is a probability density function (PDF) of the form: Here is the mean or expectation (peak) and is the variance ( is the standard deviation) and of course is Euler’s number (the […]

Stirling’s approximation
Trying to find a way to calculate the factorials of large (very large) numbers, so as to at least work through my example for Uranium 235 that I considered when working out, for my own benefit, how the binomial distribution worked. Got this via Twitter: https://twitter.com/#!/Our_Frank/status/141032793961529344 In fact, wikipedia states the approximation in a slightly […]

The binomial distribution, part 2
(Part 1 is here – these notes are to assist me, rather than contain any real news!) So, if the probability that an event will happen to a single entity in a unit of time is and the probability it will not happen is , what is the probability that a large number of events, […]