Answered: Are customers more loyal in the East or…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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	60	59	112	77	125	465
Midwest	31	60	68	120	63	154	496
South	53	115	93	158	106	193	718
West	41	66	67	78	45	68	365
Column Total	157	301	287	468	291	540	2044

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

(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.

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