Admission to a gifted school is accepted if a candidate has an IQ greater than 131.8. A total of 11 candidates took an IQ test and the summary of their results showed that the average IQ score was 133. IQ scores in the general population follow a normal distribution with average 100 and standard deviation 16. a) if a person is selected at random from the general population, find the probability that that person has an IQ score of at least 131.8. b) if 11 people are selected at random, find the probability that the average score of this group is at least 131.8. c) can we say, without a doubt, that all candidates are eligible for admission to that school?

Admission to a gifted school is accepted if a candidate has an IQ greater than 131.8. A total of 11 candidates took an IQ test and the summary of their results showed that the average IQ score was 133. IQ scores in the general population follow a normal distribution with average 100 and standard deviation 16. a) if a person is selected at random from the general population, find the probability that that person has an IQ score of at least 131.8. b) if 11 people are selected at random, find the probability that the average score of this group is at least 131.8. c) can we say, without a doubt, that all candidates are eligible for admission to that school?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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