Solutions Probability

Survey customer loyalty Are customers more loyal in the East or West? The following table is based o

Question: Survey customer loyalty Are customers more loyal in the East or West? The following table is based on information from Trends in the United States, published by the Food Marketing Institute. The columns represent length of customer loyalty, in years, at a primary supermarket. The rows represent regions of the US.

Less than 1 yr 1-2 years 3-4 years 5-9 years 10-14 years 15 or more years Row total
East 32 54 59 112 77 118 452
MidWest 31 68 68 120 63 173 523
South 53 92 93 158 106 158 660
West 41 56 67 78 45 86 373
Column total 157 270 287 468 291 535 2008

What is the probability of a customer chosen at random-

a) Has been loyal 10-14 years?

b) Has been loyal 10-14 years and is from the East?

c) Has been loyal at least 10 years?

d) Has been loyal at least 10 years and is from the West?

e) Is from the West and loyal less than 1 yr?

f) Is from the South and loyal less than 1 yr?

g) Is loyal 1 or more years and is from the East?

h) Is loyal 1 or more years and is from the West?

i) Are the events from the East and loyal 15 or more years independent? Explain.

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