Essentials of Statistics (5th Edition)

Published by Pearson
ISBN 10: 0-32192-459-2
ISBN 13: 978-0-32192-459-9

Chapter 6 - Normal Probability Distributions - Review - Cumulative Review Exercises - Page 312: 2

Answer

a)The event of selecting someone who doesn't think that college isn't a good investment. b)90% c)0.001 d) convenience sample, cannot be used to represent the whole population

Work Step by Step

a)$\bar{A}$ means the complement of A, that A doesn't occur. Hence here it means the event of selecting someone who doesn't think that college isn't a good investment. b)$P(\bar{A})=1-P(A)=1-0.1=0.9=90$%. c)By using the multiplication rule: $P(AAA)=P(A)\cdot P(A) \cdot P(A)=0.1^3=0.001.$ d)Here the sampling uses a voluntary response or the population's subgroup hence it is a convenience sample. Hence the survey cannot be used to represent the whole population, because not everybody has the chance to participate in it.
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