Problem 21SE
Refer to Exercise 19.
a. Compute the conditional mass function PYX(y0.06).
b. Compute the conditional mass function PXY(x100).
c. Compute the conditional expectation E(Y  X = 0.06).
d. Compute the conditional expectation E(X  Y = 100).
Answer:
Step 1 of 5:
From exercise 19.
The joint probability mass function of tensile strength (y) and additive concentration (x).

Tensile strength (y) 

Concentration of additive (x) 
100 
150 
200 

0.02 
0.05 
0.06 
0.11 
0.22 
0.04 
0.01 
0.08 
0.10 
0.19 
0.06 
0.04 
0.08 
0.17 
0.29 
0.08 
0.04 
0.14 
0.12 
0.3 
0.14 
0.36 
0.5 
