(a) Find Cov(4 + 2X , 3 − 2Y ).  (b) Let Z = 3X − 2Y + 2. Find E[Z] and σ2z  (c) Calculate the correlation coefficient between X and Y. What does this suggest about the relationship between          X and Y?

MATLAB: An Introduction with Applications
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Let X and Y have the following joint distribution:
X \Y          0          1
   0          0.40     0.10
   1          0.10     0.10
   2          0.10     0.20 

 (a) Find Cov(4 + 2X , 3 − 2Y ).

 (b) Let Z = 3X − 2Y + 2. Find E[Z] and σ2z
 (c) Calculate the correlation coefficient between X and Y. What does this suggest about the relationship between          X and Y? 
 (d)  Show that for two nonzero constants a and b, Cov(X + a, Y + b) = Cov(X , Y ).

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