4. In a commercial survey involving 1000 persons on brand preferences 120 prefer BRAND X only, 200 prefer BRAND Y only, 150 BRAND Z only, 370 prefer BRAND X or Y but not Z. 450 prefer BRAND Y or Z but not X. 370 prefer either BRAND Z or X but not Y and none prefer all the three. How many persons have no brand preferences?

4. In a commercial survey involving 1000 persons on brand preferences 120 prefer BRAND X only, 200 prefer BRAND Y only, 150 BRAND Z only, 370 prefer BRAND X or Y but not Z. 450 prefer BRAND Y or Z but not X. 370 prefer either BRAND Z or X but not Y and none prefer all the three. How many persons have no brand preferences?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 28PPS

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Question

Solve using the concept of counting techniques and application of venn diagram.

Transcribed Image Text:4. In a commercial survey involving 1000 persons on brand preferences 120 prefer BRAND X only, 200 prefer BRAND Y only, 150 BRAND Z only, 370 prefer BRAND X or Y but not Z. 450 prefer BRAND Y or Z but not X. 370 prefer either BRAND Z or X but not Y and none prefer all the three. How many persons have no brand preferences?

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