Question 1105068: Hotel asked its customers to rate their stays as excellent, good, fair, or poor. The following table shows the frequency of each rating as well as the gender of the customer:
Rating
men
women
excellent
3
9
good
20
12
fair
16
7
poor
6
2
A)What is the probability that a randomly selected customer rated his or her stay as either good or fair?
B)What is the probability that a randomly selected customer was either a woman or rated his/her stay as fair?
C)What is the probability that a randomly selected customer rated her stay as good, if customer selected was a woman?
Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! ====E====G====F===P==Total
M--3------20-----16---6===45
W--9------12------7---2===30
T==12-----32-----23--8----75
a. 55/75=11/15
b. N(woman)=30+N(fair)=23-N(woman and fair, double counted)=7 for a N=46
46/75.
c.Given a woman (30), number good is 12, so probability if 12/30=0.4
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