Probability Distribution Cheat Sheet
Probability Distribution Cheat Sheet Click image to viewdownload PDF Description Struggling with Probability Distributions? This guide covers the Uniform, Exponential, Normal, Binomial, Geometric and Hypergeometric Distributions. These include both continuous and discrete probability distributions. Each distribution has formulas for its
For example, the binomial probability distribution describes a random variable that represents the number of sucesses in a number of trials n with some fixed probability of success in each trial p. The parameters of the binomial distribution are therefore n and p. For example, the number of heads observed in 10 flips of a fair coin follows
This probability cheat sheet equips you with knowledge about the concept you can't live without in the statistics world. Yes, it's probability! Probability Distributions. Definition A probability distribution is a mathematical representation of the probabilities of all possible outcomes for a random variable in a given scenario. In
a Probability of getting 1st success on the b Probability of getting success on trials Since we only count trials until the event occurs the first time, there is no need to count the arrangements, as in the binomial distribution. Variables p probability that the event occurs on a given trial
Probability Distributions Cheat Sheet Story A random variable X with a Bernoulli distribution with parameter p has two possible outcomes labeled by 0 and 1 in which X1 success occurs with probability p and X0 failure occurs with probability 1-p. For example, X can represent the outcome of a coin
the distribution of the sample mean is X 1 n i1 n XiN, 2 n given that n is sufficiently large ngt30 . If the population size N is finite, we add the finite population correction factor and the distribution of the sample mean is X 1 n i1 n XiN, 2Nn nN1 . Mark Debono email160protected
A continuous distribution's probability function takes the form of a continuous curve, and its random variable takes on an uncountably infinite number of possible values. This means the set of possible values is written as an interval, such as negative infinity to positive infinity, zero to infinity, or an interval like 0, 10, which
Axiom 2 The probability that at least one of the elementary events in the entire sample space will occur is 1, i.e
Probability Cheat Sheet Distributions Unifrom Distribution notation Uab cdf x a b a for x2ab pdf 1 b a for x2ab expectation 1 2 a b variance 1 12 b a2 mgf etb eta tb a story all intervals of the same length on the distribution's support are equally probable. Gamma Distribution notation Gammak pdf kx 1e x k I xgt0
Distribution I ABernp where p PA. Fundamental Bridge The expectation of the indicator for event Ais the probability of event A EI A PA. Variance and Standard Deviation VarX EX EX2 EX2 EX2 SDX q VarX Continuous RVs, LOTUS, UoU Continuous Random Variables CRVs What's the probability that a CRV is in an
