**Probability distributions**

- A
probability distributiondescribes how the values of arandom variableare distributed.- It
assigns a probabilityto each possible outcome of a process or experiment that is assumed random. The random variable can beorcontinuousdiscrete.- Probability distributions can be very useful because, since the characteristics of each distribution are well understood, they can be used to, using a sample of observations, make
statistical inferenceson the entire population.- A probability distribution can be specified in a number of ways:

- Through a
(probability density function)probability mass function- Through a
(cumulative distribution function)survival function- Through a
hazard function- Through a
characteristic function- Some common distributions include:

:Binomial distributiondbinom()

- The collection of possible outcomes of a coin toss [
H|T] follow a:Cauchy distributiondcauchy():Chi-squared distributiondchisq():Exponential distributiondexp():F distributiondf():Gamma distributiondgamma():Hypergeometric distributiondhyper():Log-normal distributiondlnorm():Geometric distributiondgeom():Multinomial distributiondmultinom():Negative binomial distributiondnbinom():Normal distributiondnorm():Poisson distributiondpois():Student's t distributiondhyper():Uniform distributiondunif():Weibull distributiondweibull()