The scores of an entrance examination are known to be normally distributed with a mean of 118 and standard deviation as 12. (i) (ii) If a candidate obtaining a score of at least 100 is declared successful, what is the probability that a candidate chosen at random will be successful? (ii) Obtain the lowest score of the top 25% of the candidates. If it is decided to pass 70% of those taking the examination what should be the lowest passing scores?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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The scores of an entrance examination are known to be
normally distributed with a mean of 118 and standard
deviation as 12.
(ii)
E
If a candidate obtaining a score of at least 100 is
declared successful, what is the probability that a
candidate chosen at random will be successful?
(ii) Obtain the lowest score of the top 25% of the
candidates.
If it is decided to pass 70% of those taking the
examination what should be the lowest passing
scores?
Transcribed Image Text:The scores of an entrance examination are known to be normally distributed with a mean of 118 and standard deviation as 12. (ii) E If a candidate obtaining a score of at least 100 is declared successful, what is the probability that a candidate chosen at random will be successful? (ii) Obtain the lowest score of the top 25% of the candidates. If it is decided to pass 70% of those taking the examination what should be the lowest passing scores?
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