Using the company records for the past 500 working days, the manager of Konig Motors, a suburban automobile dealership, has summarized the number of cars sold per day into the following table:
| Number of Cars Sold per Day | Frequency of Occurrence | 
| 0 | 40 | 
| 1 | 100 | 
| 2 | 142 | 
| 3 | 66 | 
| 4 | 36 | 
| 5 | 30 | 
| 6 | 26 | 
| 7 | 20 | 
| 8 | 16 | 
| 9 | 14 | 
| 10 | 8 | 
| 11 | 2 | 
| Total | 500 | 
a. Form the probability distribution for the number of cars sold per day?
b. Compute the mean or expected number of cars sold per day?
c. Compute the standard deviation?