A random variable is a variable whose value depends on the outcome of a probabilistic experiment. Its value is a priori unknown, but it becomes known once the outcome of the experiment is realized. Definition D
Random Variable Definition A random variable, also known as a stochastic variable, means a collection of possible outcomes and their correspondingprobabilities. In practical use, the meaning ofrandom variablecan be intuitively understood to be a variable that may take on different values randomly but ...
which is 3. A random variable has a set of values, and any of those values could be the resulting outcome, as seen in the example of the dice.2
random variable noun Statistics. a quantity that takes any of a set of values with specified probabilities. Discover More Word History and Origins Origin ofrandom variable1 First recorded in1935–40 Discover More Example Sentences Good institutions are not a random variable that could have popped ...
Define random variable. random variable synonyms, random variable pronunciation, random variable translation, English dictionary definition of random variable. n. A variable whose values are random but whose statistical distribution is known. American He
Another consequence of the definition given above is that the support of a continuous random variable must be uncountable. In fact, by the previous property, if the support (the set of values the variable can take) was countable, then we would have ...
Definition VI.5 Random Variables A random variable X is a function X:Ω→ℝ. We write, for any property of real numbers,φ(x), [φ(X)]={ω∈Ω‖φ(X(ω))}. In particular, for any set of real numbers S [X∈S]={ω∈Ω‖X(ω)∈S} and for a real number r [X=r...
Definition of independent random variable in plain English with examples. How to tell if you have independent random variables.
Definition (random variable): A random variable is a numerical description of the outcome of an experimentThus, the CDF is
3.3.2 How to check a random variable? 如何检验随机变量呢?其实就是在检验可测函数。定理3.3.1告诉我们检验的方法。不需要使用随机变量的原始定义:检验对所有的Borel集B都有X^{-1}(B),满足X^{-1}(B)\in\mathcal{A}。只需要检验X^{-1}([-\infty,x])\in\mathcal{A} ,\forall x\in\mathcal{...