Question: Let dependent random variables X, Y, and Z be defined by the joint distri- bution: which shows that Z is most likely to be the

Let dependent random variables X, Y, and Z be defined by the joint distri- bution:

POX 1, Y P(X 2, Y = 2, Z = 3) =

which shows that Z is most likely to be the smallest. What can you con- clude? (See C. R. Blyth, Journal of the American Statistical Association. Vol. 67, 1972, pp. 364-366 and 366-381.)

POX 1, Y P(X 2, Y = 2, Z = 3) = 0.25 1, Z-3)=0.35 P(X 2, Y 3, Z = 1) - 0.40 In this case, P(XY)=0.65, P(X

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