Suppose the mean IQ for a group of psychopaths is 105 and the standard deviation is 7. Assuming a normal distribution, determine
a. the percentage of IQ scores between 100 and 110.
b. the probability of selecting a psychopath at random who has an IQ between 100
and 110.
c. the percentage of IQ scores between 90 and 105.
d. the probability of randomly selecting a psychopath who has an IQ between 90
and 105.
e. the percentage of IQ scores that are 125 or above.
f. the probability of randomly selecting a psychopath who has an IQ of 125 or
above.
What would be an ideal response?
a.
1 2
110 105
7
.71
100 105
7
.71
% 26.11 26.11 52.22%
x
z
x
z
?
?
?
?
?
=
?
= =
?
=
?
=
= ?
= + =
52.22% of IQ scores are between 100 and 110.
b.
P = .5222
c.
90 105
7
2.14
x
z
?
?
?
=
?
= =
?
48.38% of IQ scores are between 90 and 105.
d.
P = .4838
e.
125 105
7
2.86
x
z
?
?
?
=
?
= =
.21% of IQ scores are 125 or above.
f.
P = .0021
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