Question

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)   ...

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)

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