company is trying to test the market for its newly r the team wishes to look for
ID: 3074838 • Letter: C
Question
company is trying to test the market for its newly r the team wishes to look for gender and international differences 1. The research team at a leading perfume company is trying to in the preference for this perfume. They sample the sample is asked to try the new list the results They sample 2,500 people internationally and each person in preference. perfume and list his/her preference. The following table reports Asia 120 180 80 120 Preference Genc Like it America 210 370 290 330 Europe 150 310 150 190 len Women Don't like it Women a. What is the probability that a randomly selected man likes the perfume? What is the probability that a randomly selected Asian likes the perfume? What is the probability that a randomly selected European woman does not like the b. C. perfume? d. What is the probability that a randomly selected American man does not like the perfume? Are the events 'Men" and "Like Perfume" independent in () America, (il) Europe, (ii) Asia? Explain using probabilities e. Internationally, are the events "Men" and "Like Perfume" independent? Explain using probabilities.Explanation / Answer
Total number of possible outcomes= 210+370+290+330+150+310+150+190+120+180+80+120= 2500
a) Probability that a randomly selected man likes the perfume is
P(A)= number of favorable outcomes/Total number of possible outcomes
Number of man like the perfume= 210+150+120= 480
P(A)= 480/2500= 0.192
b) The probability that randomly selected asian likes the perfume is
P(B)= number of favorable outcomes/Total number of possible outcomes
Number of asians like the perfume= 300
P(B)= 300/2500= 0.12
c) The probability that randomly selected European woman doesn't like the perfume is
Number of european woman doesn't like the perfume= 190
P(C)= 190/2500= 0.076
d) The probability that a randomly selected American man doesn't like the perfume is
Number of American man who doesnt like the perfume is 290
P(D)= 290/2500= 0.116
NOTE: I have done the first four part of the question. Please repost (e) and (f) along with the table. Thank you.
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