# 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, […]

• ## The binomial distribution, part 1

I think there are now going to be a few posts here which essentially are about me rediscovering some A level maths probability theory and writing it down as an aid to memory. All of this is related as to whether the length of time pages are part of the working set is governed by […]