The research team at a leading perfume company is trying to test the market for its newly introduced perfume. In particular the team wishes to look for gender and international differences in the preference for this perfume. They sample 2,500 people internationally and each person in the sample is asked to try the new perfume and list his/her preference. The following table reports the results.

a. What is the probability that a randomly selected man likes the perfume?
b. What is the probability that a randomly selected Asian likes the perfume?
c. What is the probability that a randomly selected European woman does not like the perfume?
d. What is the probability that a randomly selected American man does not like the perfume?
e. Are the events €œMen€ and €œLike Perfume€ independent in (i) America, (ii) Europe, (iii) Asia? Explain using probabilities.
f. Internationally, are the events €œMen€ and €œLike Perfume€ independent? Explain usingprobabilities.

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Asia America Europe Gender Men Women Men Women Preference 210 370 290 330 150 310 150 190 120 180 80 120 Like it Don't like it