In USA Today (Sept. 5, 1996), the results of a survey involving the use of sleepwear while traveling were listed as follows:
|
Male
|
Female
|
Total
|
Underwear
|
0.220
|
0.024
|
0.244
|
Nightgown
|
0.002
|
0.180
|
0.182
|
Nothing
|
0.160
|
0.018
|
0.178
|
Pajamas
|
0.102
|
0.073
|
0.175
|
T-shirt
|
0.046
|
0.088
|
0.134
|
Other
|
0.084
|
0.003
|
0.087
|
(a) What is the probability that a traveler is a female who sleeps in the nude?
(b) What is the probability that a traveler is male?
(c) Assuming the traveler is male, what is the probability that he sleeps in pajamas?
(d) What is the probability that a traveler is male if the traveler sleeps in pajamas or a T-shirt?