) What is the probability that a traveler is female?  (c) Assuming the traveler is a female, what is the probability that she sleeps in nude?  (d) What is the probability that a traveler is female if she sleeps in pajamas or a T-shirt?

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Please use Baye's Theorem to solve this problem. Thanks.

In USA Today (Sept. 5, 1996) 5the results of a survey involving the use of sleepwear while traveling were listed as follows:

(b) What is the probability that a traveler is female? 

(c) Assuming the traveler is a female, what is the probability that she sleeps in nude? 

(d) What is the probability that a traveler is female if she sleeps in pajamas or a T-shirt? 

 

Male
Female
Total
Underwear
0.250
0.076
0.326
Nightgown
Nothing
0.002
0.218
0.220
0.160
0.073
0.233
Pajamas
0.046
0.088
0.134
T-shirt
0.084
0.003
0.087
Transcribed Image Text:Male Female Total Underwear 0.250 0.076 0.326 Nightgown Nothing 0.002 0.218 0.220 0.160 0.073 0.233 Pajamas 0.046 0.088 0.134 T-shirt 0.084 0.003 0.087
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