In: Statistics and Probability
For each of the formulas below, state whether it is true or false.
a) pX,Y,Z(x,y,z)=pY(y)pZ∣Y(z∣y)pX∣Y,Z(x∣y,z)
Select an option True False
b) pX,Y∣Z(x,y∣z)=pX(x)pY∣Z(y∣z)
Select an option True False
c) pX,Y∣Z(x,y∣z)=pX∣Z(x∣z)pY∣X,Z(y∣x,z)
Select an option True False
d) ∑xpX,Y∣Z(x,y∣z)=1
Select an option True False
e) ∑x∑ypX,Y∣Z(x,y∣z)=1
Select an option True False
f) pX,Y∣Z(x,y∣z)=pX,Y,Z(x,y,z)pZ(z)
Select an option True False
g) pX∣Y,Z(x∣y,z)=pX,Y,Z(x,y,z)pY,Z(y,z)