Can someone clarify the following names for probability distributions?
I only know of the three by their CAS name, lol.
1.Binomial
2. Normal
3. Probability density function (the one with integration)
BUT some questions call it the following (and I get confused when they don't tell you how it's distributed)
1. Continuos random variable
2. Discrete random variable
3. Probability function
Am I right in saying continuos = normally distributed
Discrete = binomial
Probability function = probability density function?
Also, are there any other types we need to know in Methods?
Nope in all accounts, sorry.
A random variable is a special type of variable whose value is determined at random.
A continuous random variable is ANY random variable defined by the area under a function.
A discrete random variable is ANY random variable defined by discrete data (i.e x=0,1,2,...)
A probability function is what tells you the probability of getting particular values for your random variable.
A binomial random variable is a type of discrete random variable, with probability function
=\frac{n!}{x!(n-x)!}p^x(1-p)^{n-x})
. This type of probability function is also called a probability mass function, or PMF.
A normal random variable is a type of continuous random variable, with probability function
=\frac{1}{\sqrt{2\pi}\sigma}e^{\frac{-1}{2}\left(\frac{x-\mu}{\sigma}\right)^2})
, where
is the mean and
the variance. This type of probability function is also called a probability density function, or PDF.
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