Cheat Sheet Probability Formulas Pdf

Probability cheat sheet distributions unifrom distribution notation u a b cdf x a b a for x2 a b pdf 1 b a for x2 a b expectation 1 2 a b variance 1 12 b a 2 mgf etb eta t b a story.
Cheat sheet probability formulas pdf. The complete list of statistics probability functions basic formulas cheat sheet to know how to manually solve the calculations. You use some combinations so often that they have their own rules and formulas. This is an 10 page probability cheatsheet compiled from harvard s introduction to probability course taught by joe blitzstein. All intervals of the same length on the distribution s support are equally probable.
Introduction to probability and combinatorics. The better you understand the ideas behind the formulas the more likely it is that you ll remember them and be able to use them successfully. Probability that it takes a specific amount of trials to get a success. The pdf f is the derivative of the cdf f.
In the following sections we are going to keep the same notations as before and the formulas will be explicitly detailed for the discrete d and continuous c cases. 0 probability cheat sheet here i will summarise the results from. Users may download the statistics probability formulas in pdf format to use them offline to collect analyze interpret present organize numerical data in large quantities to design diverse statistical surveys experiments. Cheat sheet probability for dummies from probability for dummies by deborah rumsey successfully working your way through probability problems means understanding some basic rules of probability along with discrete and continuous probability distributions.
Continuous probability density functions quantitative probability density function pdf mean standard deviation normal distribution. Probability density functions cheat sheet 30 may 2016. Probability for dummies cheat sheet. The upshot of this is that formulas for discrete r v s translate to formulas for continuous r v s just by replacing sums with integrals.
Gamma distribution notation gamma k. Probability density function pdf. For these one deļ¬nes a probability density function pdf via p x dx p x x x dx which has to hold in the limit dx 0. F0 x f x a pdf is nonnegative and integrates to 1.
F x z x 1 f t dt 4 2 0 2 4 0 00 0 10 0 20 0 30 x pdf 4 2 0 2 4 0 0 0 2 0 4 0 6 0 8 1 0 x cdf. What is the probability density function pdf. By the fundamental theorem of calculus to get from pdf back to cdf we can integrate.