A hair salon surveyed 221 customers (105 females and 116 males) to see if they are satisfied with the service. The result is summarized in the following table.
| Satisfied | Not Satisfied | Total | |
| Female | 100 | 5 | 105 |
| Male | 114 | 2 | 116 |
| Total | 214 | 7 | 221 |
1. If a customer is randomly selected from these 221 people, the probability that he/she is satisfied is ??
(Please round your answer to two decimal places.)
2. If we know the selected customer is a female, then what is the probability that she is satisfied?
(Please round your answer to two decimal positions.)
P(satisfied|female) = ??
3. How about the probability that a randomly selected customer is a female if we know that the person is satisfied?
(Please round your answer to two decimal positions.)
P(female|satisfied) = ??
Using given summarized table we want to find, the following probabilities,
1) P( Satisfied) = 214 / 221 = 0.9683
=> P(Satisfied) = 0.97
2) P(satisfied | female) = 100 / 105 = 0.9524
=> P(satisfied | female ) = 0.95
3) P(female | satisfied) = 100 / 214 = 0.4673
=> P(female | satisfied) = 0.47
A hair salon surveyed 221 customers (105 females and 116 males) to see if they are...