Question

Are customers more loyal in the East or in the West? The following table is based on information from a recent study. The columns represent length of customer loyalty (in years) at a primary supermarket. The rows represent regions of the United States. Row Total 32 74 77 452 31 68 53 98 Less Than 1 Year 1-2 Years 3-4 Years 5-9 Years 10-14 Years 15 or More Years East 59 112 98 Midwest 65 120 63 179 South 93 158 106 179 West 41 34 67 78 45 63 Column Total 157 271 287 468 291 519 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 526 687 328 1993 (b) has been loyal 10 to 14 years, given that he or she is from the East (c) has been loyal at least 10 years (d) has been loyal at least 10 years, given that he or she is from the West (e) is from the West, given that he or she has been loyal less than 1 year (f) is from the South, given that he or she has been loyal less than 1 year (g) has been loyal 1 or more years, given that he or she is from the East (h) has been loyal 1 or more years, given that he or she is from the West

Answer 1

The points to that a cuxtormer chesen at random than (a) p (has been to to -14 years) = 89. (h) (10-14 years/ sustomer from East) - 12 - 10.1704 | 1997 -10.14607 492 1993 -Lo.uoty 328 a PC has been loy al at least loyeux ) = 291 +519 = Lo.uoty - (10-14 artsormore) (d) pl at least 10 years, customer from west) = as the = 10.3293] en pc mest / sustomer loyal less than 1 year) = 4 +0.261)) f) p( from south) to yad less san lyear) = x y = 10.3376) (9) p (has loyat for more yeux / sustomer from heast) = 1-14 128 ) - 0.8150)