PRACTICE ANOTHER   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.   Less Than 1 Year 1-2 Years 3-4 Years 5-9 Years 10-14 Years 15 or More Years Row Total East 32 57 59 112 77 129 466 Midwest 31 56 68 120 63 163 501 South 53 75 93 158 106 182 667 West 41 79 67 78 45 94 404 Column Total 157 267 287 468 291 568 2038What 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   (c) has been loyal at least 10 years   Your answer must be a fraction, integer, or exact decimal.

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PRACTICE ANOTHER
 
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.
  Less Than 1 Year 1-2 Years 3-4 Years 5-9 Years 10-14 Years 15 or More Years Row Total
East 32 57 59 112 77 129 466
Midwest 31 56 68 120 63 163 501
South 53 75 93 158 106 182 667
West 41 79 67 78 45 94 404
Column Total 157 267 287 468 291 568 2038
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
 

(c) has been loyal at least 10 years
  Your answer must be a fraction, integer, or exact decimal.

(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
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