Exercise 1 IQ scores are known to be approximately normally distributed, with a mean of 100 and a standard deviation of 15. a) What proportion of the population will have an IQ below 80? b) What proportion of the population will have an IQ below 110? c) What proportion of the population will have an IQ between 110 and 115?   d) What score will the top 10% of the population have an IQ greater than? (to one decimal place, find the closest Z value in the table).

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Exercise 1

IQ scores are known to be approximately normally distributed, with a mean of 100 and a standard deviation of 15.

a) What proportion of the population will have an IQ below 80?

b) What proportion of the population will have an IQ below 110?

c) What proportion of the population will have an IQ between 110 and 115?

 

d) What score will the top 10% of the population have an IQ greater than? (to one decimal place,

find the closest Z value in the table). 

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