A sales representative asked randomly selected customers which color handbag was

Question

A sales representative asked randomly selected customers which color handbag was their favorite. The results follow: a. What is the probability that a customer would select orange as their favorite color? b. What is the probability that a customer would select orange or lime as their favorite color? Given the results above, answer c-g c. What is the probability of randomly selecting a customer who likes white handbag the best? d. What is the probability that black or orange are the favorite colors? e. What is the probability that orange is the favorite color, given that the person's age is less than 21? f. What is the probability that black is the favorite color, given that the person's age is 21 or older? g. What is the probability that black, lime, or orange are the favorite colors, given that the person's age is 21 or older?

Explanation / Answer

a) P(orange) = 35/(10+20+25+35+10) = 0.35

b) P(orange or lime) = (35+25)/100 = 0.6

c) P(white) = (10+5)/(100+100) = 0.075

d) P(black or orange) = (20+50+35+25)/200 = 0.65

e) P(orange | age is less than 21) = 35/100 = 0.35

f) P(black | age is 21 or older) = 50/100 = 0.5

g) P(black, lime or orange | age is 21 or older) = (50+15+25)/100 = 0.9

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