Level 3 Probabilities

0.0156  
   
   
0.0188  
   
0.0225  
   
0.0187  
   
0.0225  
   
0.0225  
   
   
0.0125  
   
0.0156  
   
0.015  
   
               
0.0225  
   
0.0125  
   
0.015  
   
   
0.0188  
   
           
0.0225  
   
0.01  
   
0.0125  
   
0.0125  
   
   
0.012  
   
0.015  
   
0.015  
   
0.0188  
   
   
   
0.015  
   
0.015  
   
0.018  
   
   
   
0.0188  
   
0.0188  
   
0.0225  
   
0.01  
   
   
   
0.012  
   
   
0.0125  
   
       
0.0188  
   
   
0.012  
   
0.0125  
   
   
0.0125  
   
0.015  
   
0.0156  
   
0.0188  
   
0.008  
   
0.01  
   
0.01  
   
0.0125  
   
   
   
0.0125  
   
0.0125  
   
   
   

 

1. The probabilities in the level 3 table above were calculated for the transformations T1, T2, T3, and T4 using p1 = 0.2, p2 = 0.25, p3 = 0.25, and p4 = 0.3. Use the level 3 addresses to fill in the empty cells with the corresponding level 3 probabilities.
2. Which is the largest probability value? Which is the smallest?
3. What can be said about the arrangement of probabilities from largest to smallest? (Is there a pattern?)

Here are the answers.

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