Tim Cook (new CEO for Apple) wants to implement
Question # 00507775
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Updated on: 04/04/2017 12:48 AM Due on: 04/04/2017
Practice Problems (Continuous Probability Distributions)
IQ scores are normally distributed with a mean of µ = 100 and standard deviation of ? = 15
1. Tim Cook (new CEO for Apple) wants to implement a new HR strategy where only very highly intelligent
people are employed at Apple. The first stage of his strategy is to only hire new employees if their IQ is above
the 90th percentile. What is the minimum IQ score needed to get hired at Apple? In other words, what score is at
the 90th percentile (separates the top 10% from the remainder of the distribution)?
IQ scores are normally distributed with a mean of µ = 100 and standard deviation of ? = 15
1. Tim Cook (new CEO for Apple) wants to implement a new HR strategy where only very highly intelligent
people are employed at Apple. The first stage of his strategy is to only hire new employees if their IQ is above
the 90th percentile. What is the minimum IQ score needed to get hired at Apple? In other words, what score is at
the 90th percentile (separates the top 10% from the remainder of the distribution)?
2. The second stage of Tim’s strategy is to begin “phasing out” employees, starting with those who have an IQ
at or below the 15th percentile. What is the minimum IQ score current employees need to keep their job? In
other words, what score is at the 15th percentile (separates the bottom 15% from the remainder of the
distribution)?
at or below the 15th percentile. What is the minimum IQ score current employees need to keep their job? In
other words, what score is at the 15th percentile (separates the bottom 15% from the remainder of the
distribution)?
3. After failed attempts to recruit employees with an IQ in the 90th percentile, Tim Cook lowers his standards to
the 70th percentile. What is the new minimum IQ score needed to get hired at Apple?
the 70th percentile. What is the new minimum IQ score needed to get hired at Apple?
4. After realizing that the IQ standards for getting phased out are too low, Tim Cook raises his standard for
employees who will not get phased out to those with an IQ that is in the 25th percentile or higher. What is the
new minimum IQ score needed to keep your job at Apple? 1 IQ scores are normally distributed with a mean of µ = 100 and standard deviation of ? = 15
Laura just took an IQ test and is curious about the proportion of test takers who fall into certain categories,
based on the mean and standard deviation for the IQ test:
employees who will not get phased out to those with an IQ that is in the 25th percentile or higher. What is the
new minimum IQ score needed to keep your job at Apple? 1 IQ scores are normally distributed with a mean of µ = 100 and standard deviation of ? = 15
Laura just took an IQ test and is curious about the proportion of test takers who fall into certain categories,
based on the mean and standard deviation for the IQ test:
5. Candidates for the Mensa Club (for geniuses) must score above 133 to belong. What is the probability that
test any given taker would make it into the club? p (x > 133)?
test any given taker would make it into the club? p (x > 133)?
6. According the Wechsler IQ testing agency, a “Moron” is anyone scoring from 41 – 55. What is the probability
that a randomly selected test taker would be considered a Moron?
that a randomly selected test taker would be considered a Moron?
7. According the Wechsler IQ testing agency, a person with an IQ of 40 or below is an Idiot. What proportion of
IQ test takers are Idiots?
IQ test takers are Idiots?
8. According the Wechsler IQ testing agency, a person with an IQ 40 or below is an Idiot. What proportion of
test takers are not Idiots? 2
test takers are not Idiots? 2
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Solution: Tim Cook (new CEO for Apple) wants to implement