IIK UNIVERSITY
Department of Industrial Engineering
Spring 2008
IE256 Engineering Statistics
Homework 1
Problems from Textbook:
1.6
1.18
1.25
8.6
8.14
8.25
8.27
8.31
8.33
8.36
You may use a statistical software (such as minitab or excel) for graphs and ba
IE 256 - Homework 1
Q.1. (a) Plot the cumulative distribution function
0 for x 0,
F (x) = x3 for 0 < x < 1,
1 if x 1.
(b) Determine the corresponding density function f (x) in the three regions (i)
x 0, (ii) 0 < x < 1, (iii) 1 x.
(c) What is the mean of t
IE 256 - Homework 2
Q.1. A certain type of thread is manufactured with a mean tensile strength of 76.3
kilograms and a standard deviation of 5.6 kilograms. Assume a sample of 100 items
is obetained. What is the probability that a sample of size 100 from t
Sampling Distributions
IIKIE
The field of statistical inference is basically concerned with
generalizations and predictions, some examples of which are given
below:
based on opinions of several people interviewed on the street,
in
a forthcoming election
Sample Space
IIKIE
Definition 2.1: The set of all possible outcomes of a statistical
experiment is called the sample space and is represented by the
symbol S.
Example: The sample space of possible outcomes when a coin is
tossed
S=cfw_H,T
Example: The samp
Scientific Data and Inferential Statistics
IIKIE
Statistical methods are used in manufacturing, development of food
products, computer software, pharmaceutical, and many other areas
that involve the gathering of scientific data.
Gathering data is nothing
Sampling Distributions
IIKIE
The field of statistical inference is basically concerned with
generalizations and predictions, some examples of which are given
below:
based on opinions of several people interviewed on the street,
in
a forthcoming election
IIK UNIVERSITY
Department of Industrial Engineering
Spring 2008
IE256 Engineering Statistics
Homework 4
Due Date: May 15, Thursday
Problems from Textbook:
10.4
10.6
10.10
10.15
10.19
10.22
10.29
10.34
10.39
10.43
There are now 3 copies of the new edition
IIK UNIVERSITY
Department of Industrial Engineering
Spring 2008
IE256 Engineering Statistics
Homework 3
Due Date: April 29, Thursday
Problems from Textbook:
9.5
9.9
9.15
9.29
9.43
9.49
9.65
9.69
9.71
9.78
There are now 3 copies of the new edition of textb
IIK UNIVERSITY
Department of Industrial Engineering
Spring 2008
IE256 Engineering Statistics
Homework 2
Due Date: March 27, Thursday
Problems from Textbook:
8.42
8.43
8.49
8.52
8.54
8.59
8.67
8.68
8.70
8.73 (Hint: use central limit theorem)
There are now
IE 256 - Homework 3
Q.1. A coin is tossed 400 times. Use the normal-curve approximation to nd the probability of obtaining
(a) between 190 and 215 heads inclusive.
(b) exactly 203 heads.
(c) less than 182 or more than 224 heads.
Q.2. A process yields 15 %