一道英文概率题 X and Y have a multivariate discrete distribution with the probability functionf(X,Y) where f(-1,1) = f(0,0) = f(1,1) = 1/3.What is the correlationcoefficient between X and Compute the marginal density,fx(1) of X when itequals 1

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一道英文概率题 X and Y have a multivariate discrete distribution with the probability functionf(X,Y) where f(-1,1) = f(0,0) = f(1,1) = 1/3.What is the correlationcoefficient between X and Compute the marginal density,fx(1) of X when itequals 1

一道英文概率题 X and Y have a multivariate discrete distribution with the probability functionf(X,Y) where f(-1,1) = f(0,0) = f(1,1) = 1/3.What is the correlationcoefficient between X and Compute the marginal density,fx(1) of X when itequals 1
一道英文概率题
X and Y have a multivariate discrete distribution with the probability function
f(X,Y) where f(-1,1) = f(0,0) = f(1,1) = 1/3.What is the correlation
coefficient between X and Compute the marginal density,fx(1) of X when it
equals 1.Similarly compute fy(1).Does f(1,1) = fx(1)fy(1) Use this example
to outline the relationship between correlation and independence.

一道英文概率题 X and Y have a multivariate discrete distribution with the probability functionf(X,Y) where f(-1,1) = f(0,0) = f(1,1) = 1/3.What is the correlationcoefficient between X and Compute the marginal density,fx(1) of X when itequals 1
1.先算出 mean of X and mean of Y:m(X)=1/3(-1+0+1)=0; m(Y)=1/3(1+0+1)=2/3
2.计算Covariance(X,Y)=(1/3)(-1)(1-2/3)+(1/3)(0)(0-2/3)+(1/3)(1)(1-2/3)=0,所以推出correlation coefficient is 0
3.fx(1)=1/3; fy(1)=2/3; However,1/3=f(1,1) 不等于 fx(1)fy(1)=2/9 从而推出X,Y are NOT independent.
This example shows us that uncorrelation does not imply independence.

一道英文概率题 X and Y have a multivariate discrete distribution with the probability functionf(X,Y) where f(-1,1) = f(0,0) = f(1,1) = 1/3.What is the correlationcoefficient between X and Compute the marginal density,fx(1) of X when itequals 1 求一道数学概率题Men have XY or (YX) chromosomes and women have XXchromosomes. X-linked recessive genetic diseases (such as juvenileretinoschisis) occur when there is a defective X chromosomes thatoccurs without a paired X chromosome that is g 一道概率积分题在x,y的定义域上求CDF, 解一道大学概率题(联合分布)关于X和Y的联合分布(joint distribution)概率函数f(x,y)=[e(-y)]/y 且0确认为f(x,y)=[e(-y)]/y 一道概率密度题设（X,Y）的概率密度为f（x,y）=A（e的（-x-2y））,X,Y都大于0,其他f（x,Y）=0,求A 对条件概率的质疑一道概率问题：P{X+Y 一道大学概率的题 the pair (X,Y) is chosen uniformly from the set of pairs of integers (k,l) satisfying k>=1,L>=1,and k+l 一道概率题.设二维随机变量的（X,Y)的概率分布为 .一道概率题.设二维随机变量的（X,Y)的概率分布为 如图.已知随机事件{X=0}与{X+Y=1}互相独立,则a= b=? 向老师求助一道概率题.遇到一道问题但是条件概率那里没想通.原题是：X与Y相互独立,X的概率分布为P(X=i)=1/3 （i=-1,0,1）.连续变量Y的概率密度为f（y）= 1 0 请问一道概率题 一道概率证明题 求一道概率题 问一道概率题 一道概率题, 一道概率题, 问一道概率题 一道几何概率题, 初三概率题一道