2) Conditional Probability (7 points)

The table below shows the joint distribution over three random variables: X, Y, and Z

X

0

0

0

0

1

1

1

1

Y

0

0

1

1

0

0

1

1

Z

0

1

0

1

0

1

0

1

P(X,Y,Z)

.1

.12

.14

.16

.09

.18

.11

.1