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IQ scores are normally distributed with mean of 100 and a standard deviation of 15. If...

IQ scores are normally distributed with mean of 100 and a standard deviation of 15.

  1. If MENSA only accepts people with an IQ score at the 99th percentile or higher, what is the lowest possible IQ score you can have and still be admitted to the organization?
  2. Mental disability has traditionally been diagnosed for anyone with an IQ of 70 or lower. By this standard, what proportion of the population would meet criteria to be diagnosed with a mental disability?
  3. If a “normal IQ” is any score between 85 and 115, what proportion of the population has a normal IQ score?
  4. What proportion of the population has an IQ score that is either lower than 92 or higher than 118?

Show work and explain method please and thank you~ :(

Math   Statistics-And-Probability   
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