From the given data, the following Table is formed:
|
Major Airlines |
Privately owned planes |
Commercially owned planes |
Total |
| Business |
0.50X0.40=0.20 |
0.20X0.60=0.12 |
0.30X0.90=0.27 |
0.59 |
| Not business |
0.50-0.20=0.30 |
.20-0.12=0.08 |
0.30-0.27=0.03 |
0.41 |
| Total |
0.50 |
0.20 |
0.30 |
1.00 |
(a)
P(Business) = 0.59
(b)
P(Business & Privtely owned plane) =
0.12
(c)
P(Privately owned plane/ Business) = P(Privately owned plane &
Business)/P(Business)
                                                   Â
= 0.12/0.59 = 0.2034
(d)
P(Business/ Commercially owned plane)=P(Business &
Commerically owned plane)/P(Commercially owned plane)
                                                          Â
= 0.27/0.30 = 0.9
