Page 7 of 11 ts pointsBBUnderStat10 4.2.030 Are customers more loyal in the East

Question

Page 7 of 11 ts pointsBBUnderStat10 4.2.030 Are customers more loyal in the East or in the West? The following table is based on from a recent study. The columns represent length of customer loyalty (in years) at a p supermarket. The rows represent regions of the United States. rimary Less 15 or More Years 139 188 209 2 Years n 1 5-9 Years 10-14 Years Row Total 456 516 702 381 Year Years East Midwest South West Column 32 37 59 68 93 67 112 120 158 63 106 45 53 83 60 226 157 287 468 291 626 2055 Total What is the probability that a customer chosen at random has the following characteristics? (Enter your answers as fractions.) (a) has been loyal 10 to 14 years (b) has been loyal 10 to 14 years, given that he or she is from the East

Explanation / Answer

a) P(10 - 14 years) = 291/2055 = 0.1416

b) P(10 - 14 years | East) = 77/456 = 0.1689

c) P(atleast 10 years) = (291+626)/2055 = 0.4462

d) P(atleast 10 years | west) = (45+90)/381 = 0.3543

e) P(west | less than 1 year) = 41/157 = 0.2611

f) P(South | less than 1 year) = 53/157 = 0.3376

g) P(1+ years | East) = 424/456 = 0.9298

h) P(1+ years | West) = 340/381 = 0.8924

i) Option D

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