In: Statistics and Probability
A survey on ownership of satellite TV systems shows the following data:
Region
| 
 East  | 
 Midwest  | 
 Southwest  | 
 West  | 
 Total  | 
|
| 
 Currently Own  | 
 41  | 
 22  | 
 19  | 
 26  | 
|
| 
 Likely to Purchase  | 
 187  | 
 94  | 
 49  | 
 114  | 
|
| 
 Neither  | 
 475  | 
 533  | 
163 | 
 299  | 
|
| 
 Total  | 
Complete the table and answer the following: (Write answers either as fractions or as decimals to 4 decimal places.)
a) What is the probability that someone is likely to purchase a satellite system?
b) What is the probability that someone owns a system and lives in the southwest?
c) Given a person lives in the west, what is the probability that they are likely to purchase a satellite system?
d) Given that someone is likely to purchase a system, what is the probability that they live in the east?