In: Statistics and Probability
A research on speeding violations and drivers who use car phones indicated the following outcomes:
| 
 Speeding Violation in the Last Year  | 
 No Speeding Violation  | 
 Total  | 
|
| 
 Car Phone User  | 
 25  | 
 280  | 
 305  | 
| 
 Not a Car Phone User  | 
 45  | 
 405  | 
 450  | 
| 
 Total  | 
 70  | 
 685  | 
 755  | 
a) Referring to the table, calculate the following probability: “person is a car phone user OR person had no violation in the last year”.
b) Referring to the table, calculate the following probability: “person is a car phone user GIVEN person had a violation in the last year”.
c) Referring to the table, calculate the following probability “person had no violation last year GIVEN person was not a car phone user”.
d) Referring the table, calculate the following probability “person had no violation in the last year AND was a car phone user)”.