a海龙贾诗雯 Pipefish Jia Shiwen [translate] aA random variable is a variable that assumes numerical values that are determined by the outcome of an experiment. 一个随机变量是假设数值取决于实验的结果的可变物。 [translate] 英语翻译 日语翻译 韩语翻译 德语翻译 法语翻译 俄语翻译 阿拉伯语翻译 西班牙...
5. Functions of a Random VariableLebanon, Guy
If f is a convex function and X is a random variable, then ( ) A. E(f(X))=f(E(X)) B. E(f(X)) C. E(f(X))>=f(E(X)) D. The size relation of E(f(X)) and f(E(X)) cannot be distinguished 相关知识点:
Theorem Function of a Discrete Random Variable. LetXXXhave a discrete distribution with p.f.fffand letY=r(X)Y=r(X)Y=r(X)for some function ofrrrdefined on the set of possible values ofXXXFor each possible value y ofYYYthe p.f.gggofYYYis ...
A random variable is a rule that assigns a numeric value to every possible outcome in a sample space. Random variables may be discrete or continuous in nature. A random variable is discrete if it assumes only discrete values within a specified interval.
(a): Proof: E[aX+b] = Sum π(axi +b) = Sum (π (axi) + π (b)) = Sum (π axi)+ Sum ( π b) = aSum (π xi)+ bSum ( π), Sum( π) = 1,所以 Sumaxi = aSxi = aE[X] + b(b) ProofVar(X) = E([X-E(X)]2= E(X2)-2XE(X) + E(X)2, x=E(x)= ...
If f is a convex function and X is a random variable, then ( ) A、E(f(X))=f(E(X)) B、E(f(X))<=f(E(X)) C、E(f(X))>=f(E(X)) D、The size relation of E(f(X)) and f(E(X)) cannot be distinguished 点击查看答案&解析手机看题 你可能感兴趣的试题 单项选择题 ICL手术...
当 (\Omega^\prime, \mathcal{B}^\prime)=(\mathbb{R},\mathcal{B}(\mathbb{R})) 时,这个可测映射 X 称为一个随机变量(random variable)。 从可测映射的定义,我们看到它其实是用原像或者说逆映射来定义的。一个有意思的问题是:为什么我们不能直接用 X(\mathcal{B})\subseteq \mathcal{B}^\...
【题目】A random variable X has the probability distribution functionP(X=x)=1/(5u),x=1,.,... where n is a positive integer.Find in terms of n an expression for the variance of XYou may assume that∑_(i=1)^ni=(n(n+1))/2 and that∑_(i=1)^n(i^2)=n/6(n+1)(2n+1)...
PMF of a Function of a Random Variable iTunes This course is an introduction to probabilistic modeling, including random processes and the basic elements of statistical inference.