(f) is from the South, given that he or she has been loyal

Chapter , Problem 24

(choose chapter or problem)

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

What is the probability that a customer chosen at random

(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?

(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?

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