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?

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?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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