Probability Theory: An Introduction |
Common terms and phrases
A₁ A₂ assuming Axiom Bernoulli bility binomial Binomial Distribution bulbs cards coins are tossed contains 3 red continuous random pair defined Definition denoted density function Determine discrete random pair discrete random variable distribution function E[X² equally-likely Example Exercises expected value experiment fair coins finite func function f Fx(b Fx(t fx(x fxy(x fxy(x,y Fy(t geometric given graph independent infinite integral interval jar contains Let X represent Maclaurin series marble is drawn marginal density marginal probability moment generating function my(t n-tuple number of heads occurs otherwise outcomes P(A B P(AB pairwise permutations Poisson process proba probability function Probability Histograms probability measure probability space probability theory Proof properties Px(k Px(x Pxy(x Py(y random n-tuple real numbers red marble represent the number sample space selected at random Solution standard deviation student subsets Theorem tion Venn diagram white marbles