Assume that all workstations based on the latest generation of the Intel 
Pentium CPU achieve a mean score of 210 on a standard industry benchmark 
with a standard deviation of 15. Assume also that benchmark scores are 
normally distributed. 

Given the normality assumption and the population parameters above, complete 
the following:

1. What proportion of workstations would you expect to achieve a score less 
   than 210? 

2. What proportion of workstations would you expect to achieve a score between 
   180 and 240? 

3. What proportion of workstations would you expect to achieve a score between 
   180 and 195? 

4. What proportion of workstations would you expect to achieve a score between 
   195 and 255? 

5. The benchmark mentioned above is the time in milliseconds required to 
   complete a particular task. A benchmark score of 165 is used as a threshold 
   to distinguish fast workstations from slow workstations. What proportion of 
   these Pentium workstations would you consider to be fast? Justify your 
   answer.