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Homework answers / question archive / Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15
Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15. Draw a graph.
Find the probability that a randomly selected adult has an IQ greater than131.5 (the requirement for membership in the Mensa organization).
please see the attached file.
The probability function f(x) has the form:
with mean = 100 and standard deviation = 15
I have plotted the function in Excel.
To calculate the probability that a randomly selected adult has an IQ greater than 131.5, use the table in the provided reference:
P(X greater than or equal to 131.5) = P(Z greater than or equal to (131.5-100)/15) = P(Z greater than or equal to 2.1) = 1- 0.9821 = 0.0179 = 1.79%.
References:
http://en.wikipedia.org/wiki/Standard_normal_table
http://www.math.unb.ca/~knight/utility/NormTble.htm
