The IQ of people follows the normal distribution, with a mean of 100 and a standard deviation
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Question:
The IQ of people follows the normal distribution, with a mean of 100 and a standard deviation of 15, i.e., m = 100, σ = 15. What is the probability that a person has an IQ
(a) lower than 85?
(b) higher than 130?
(c) between 85 and 115?
(d) Bob’s IQ is at the 98th percentile, what is his IQ?
(e) If someone has an IQ in the top 0.01% of IQ distribution is considered a “genius”, what is the IQ cutoff for a “genius” (i.e., find x such that if someone has IQ greater than or equal to x, then they are considered a “genius”)?
Related Book For
Stats Data and Models
ISBN: 978-0321986498
4th edition
Authors: Richard D. De Veaux, Paul D. Velleman, David E. Bock
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