Chapters 4-5
Introduction
Random Variables:
Numerical Outcomes Of Experiments:
Discrete
Continuous
Discrete Random Variables:
Result from a counting process,
e.g.
- No. of heads in n trials,
- No. of defective items in a sample,
- No. of machines opera

IME 724 Statistical Methods for Engineers
Fall 2015
TR 4:10 5:35 PM
100 LH
Instructor:
Dr. Gamal Weheba
Office: 120B- EB
Phone: 978 - 5777
Email: gamal.weheba@wichita.edu
Office Hours: TR 3:00 4:00 PM, or by appointment.
Synopsis:
This course is designed

Chapter 5
Continuous Random Variables
(Cont.)
The Gamma-Type Probability
Distribution:
Random variables which assume only
non-negative values (e.g. time to
complete a task, life of light bulb,.)
can be modeled by a gamma-type
density function.
Parameters:

Chapter 6
Sampling Distributions
Why is sampling such an
important part of statistics?
Random
sampling
If n elements are selected
from the population in such a
way that every set of n
elements in the population has
an equal probability of being
selected

IME 724
WELCOME TO
STATISTICAL METHODS FOR
ENGINEERS
Introduction
What is statistics?
Why use statistics?
Two Branches of statistics
Descriptive Statistics
Inferential Statistics
Descriptive Statistics
Descriptive Statistics used to
organize, summari

Chapter 7
Estimation Using
Confidence Intervals
Point Estimator :
A rule or formula that tells us how
to calculate a numerical estimate
based on measurements contained
in a sample.
The result of the
calculation is the point estimate
Point estimation tries

Chapter 5
Continuous Random Variables
Not all random variables can assume a
countable number of values.
For example, the income of Engineering
students could assume an uncountable
(infinite) number of values in the interval:
ya < y <yb
Such variables are

Chapter 3
Making inferences based on sample data
is subject to Uncertainty.
A sample rarely tells a perfect story about
the population.
How do we measure the uncertainty
associated with an event?
>Probability<
Probability:
Used to represent the likeli

The Negative Binomial PD
Same characteristics as the
binomial,
The variable of interest (y) is the
number of trials to the rth success.
The probability of observing the
rth success in y trials is:
y
P ( y )
y
With,
1 r y r
p q
r
r
r
2
, and q
2
p
p
Exa