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5.1 Worksheet/note sheet!
Name ____________
1. On the line below, draw N ~ (71, 5)
2. Consider the normal curves above.
a) Find the line of symmetry
b) Identify the mean(s)
c) What are the points of inflection(s)?
d) Which normal curve has the greatest mean?
e) Which normal curve has the greatest standard deviation?
3. Given that N ~ (100,15) , estimate the probability that a randomly chosen adult has an
IQ between 85 and 145. Draw at the normal curve.
4. The uniform Density Function:
1
ba
a
b
a) Let X ~ Uniform(5,12) . Then the P( X  8) is:
5. Which of the following is not a legitimate uniform probability density
function?
.5 0  x  1
a) f ( x)  
0 otherwise
.5 3  x  5
b) f ( x)  
0 otherwise
1

.3 1  x  1
c) f ( x)  
3
0 otherwise
.25 - 2  x  2
d) f ( x)  
otherwise
0
f) All of these are uniform probability density functions
6. A uniform distribution is defined on the interval [-1,1}.
a) Sketch a graph of the probability density function.
b) Define the rule of the probability function; that is, complete

f (x)  

c) Verify that your rule in part b satisfies the conditions for a continuous probability
density function.
d) Calculate the probability P (0  X  1) . Show a sketch to support your
calculation.