73-407: Fundamentals of Statistical Modelling: Problem Set 3: Solutions
Short Answer
a. Can take on any value in an interval OR continuous if F(y) is continuous, for < < .
many possible examples (blood pressure, accurately measured weights, heights, times
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73-407: Fundamentals of Statistical Modeling: Problem Set 5
Due at the beginning of lecture on 3/23/15
Please print this problem set and answer in the spaces provided. Write neatly. You must show
your work to receive points. Round answers to 3 deci
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73-407: Fundamentals of Statistical Modelling: Problem Set 1
Due at the beginning of lecture on 1/26/15
Please print this problem set and answer in the spaces provided. Write neatly. You must show
your work to receive points. Round decimal answers
73-407: Fundamentals of Statistical Modelling: Problem Set 2
SOLUTIONS
1. An oil prospector will drill a succession of holes in a given area to find a productive well. The
probability that he is successful on a given trial is .2.
a. What is the probabilit
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73-407: Fundamentals of Statistical Modelling: Problem Set 3
Due at the beginning of lecture on 2/16/15
Please print this problem set and answer in the spaces provided. Write neatly. You must show
your work to receive points. Round decimal answers
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73-407: Fundamentals of Statistical Modeling: Problem Set 6
Due at the beginning of lecture on Wednesday 4/1/15
Please print this problem set and answer in the spaces provided. Write neatly. You must show
your work to receive points. Round answers
Carnegie Mellon University: Tepper School of Business
73-407 Fundamentals of Statistical Modeling, Spring 2015
Instructor
Dr. Billie Davis
Contact: (billie@cmu.edu)
Office: Posner Hall (Tepper) 348E
Note
PLEASE READ THIS SYLLABUS (I will assume that you h
73-407: Fundamentals of Statistical Modeling: Problem Set 8: Solutions
Chapter 14
Short Answer
Give two key characteristics of qualitative data:
descriptive, observed
Give two examples of qualitative data:
color, texture, smell, taste, appearance, beaut
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73-407: Fundamentals of Statistical Modeling: Problem Set 8 (Chapter 14)
Due at the beginning of lecture on Monday 4/27/15
Please print this problem set and answer in the spaces provided. Write neatly. You must show
your work to receive points. Rou
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73-407: Fundamentals of Statistical Modeling: Problem Set 7 (Chapter 11)
Due at the beginning of lecture on Wednesday 4/22/15
Please print this problem set and answer in the spaces provided. Write neatly. You must show
your work to receive points.
73-407: Fundamentals of Statistical Modeling: Problem Set 7: Solutions
Chapter 11
Short Answer
Define the following
Independent Variables: Nonrandom variables 1 , 2 , ,
Dependent Variable: Random variable , its mean depends on the independent variables
D
73-407: Fundamentals of Statistical Modeling: Problem Set 6: Solutions
1. a. Since the sample is from a normal distribution, ( ) = for all so (1 ) = and the
estimator is unbiased.
b. Since the variance is 1, this is just (|
1
| 1) = (| 1) = (1 1)
= 1 (2
Gamma Y Gamma(, )
Discrete Probability Distributions
pmf: p(y)
y
z=
cdf: F (y) =
y=
0 p(y) 1;
f (y) = y 1 ey/ /[ ()], y [0, ), R+ , R+
p(z)
p(y) = 1
F (y) = (, y/)/() (non-analytic function)
b
a
P (Y = y) = p(y); P (a Y b) =
() =
p(y)
d
cdf:
dy F (y)
f (y
Sample Statistics
n
i=1 yi
n
1
i=1 (yi
n1
1
(shortcut): s2 = n1
Sample Mean: y = n
1
Sample Variance: s2 =
Without Replacement/Order Matters:
Number of ways to permute n objects taken k at a
n
time: Pk = n!/(n k)!
y )2
n
(
Pn
y )2
2
i=1 i
Sample Varianc