PAM 2100 Lecture 1
Spring 2009
Instructor: Salam Abdus
Problem Set #2 Answer key
Total Points: 10
Circle all of your final answers.
Put your name and your section number at the top.
#1) The mean of a distribution x is 11 and the standard deviation of x is 7.
The
distribution x is linearly transformed such that x
new
= 6x.
What is the mean of x
new
?
What
is the standard deviation of x
new
?
(2 points)
Ans. The mean of x
new
is (6)(11)=66.
The standard deviation of x
new
is (6)(7)=42
(Correct final answers receive full credit. However if the final answer is wrong but the
formulas used were correct, give 80% credit)
#2) The mean of a distribution x is 10 and the standard deviation of x is 4.
The
distribution x is linearly transformed such that x
new
= a + bx.
The mean of x
new
is 35 and
standard deviation of x
new
is 12.
Suppose
b
is a positive number.
What does
a
equal?
What does
b
equal?
(2 points)
Mean(x)=10,
s.d.(x)=4.
35
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 Spring '08
 ABDUS,S.
 Normal Distribution, Standard Deviation, battery pack

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