万分感激LetXandYbe2randomvaribales,whichcanonlytake2values{0,1}(i,e.binomialsetting).ThejointdistibutionofXandYsatisfiesthefollowingproperties.P(Y=1)P(Y=0)P(X=1)0.1250.250P(X=0)0.3750.6251.ComputeP(X)andP(Y)(i.e,

Question

万分感激
Let X and Y be 2 random varibales,which can only take 2 values {0,1} (i,e.binomial setting).The joint distibution of X and Y satisfies the following properties.
P(Y=1) P(Y=0)
P(X=1) 0.125 0.250
P(X=0) 0.375 0.625
1.Compute P(X) and P(Y) (i.e,help describe the koine distribution of X and Y).
2.Compute E(X) and E(Y).
3.Compute P(X l Y=1).
4.Compute E(X l Y=2).
5.Compute Var( X l Y=1)
1.打错了 应该是 Compute P(X) and P(Y) (i.e,help describe the joint distribution of X and Y).
Joint distribution.
Sorry for the mistake
问过老师了

Answer 1

P(Y=1) P(Y=0)
P(X=1) 0.125 0.250
P(X=0) 0.375 0.625
题目数据有误吧,一般情况下,上述数据和≤1