(Solution Library) IQ scores tend to follow a normal distribution with a mean of 100 and a standard deviation of 15 . It is often said that a genius is


Question: IQ scores tend to follow a normal distribution with a mean of 100 and a standard deviation of 15 . It is often said that a genius is someone with an IQ of 140 or more. There are 1000 people take an IQ test. Let \(\bar{x}\) be the random variable of averages. Let \(\Sigma X\) be the random variable of sums:

  1. How many people could be genius?
  2. \(P(\bar{x}<125)=\)
  3. \(P(8000<\Sigma x<10500)=\)
  4. Find the third quartile for the sum IQ score.

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