QUESTIONS
1.
Suppose that X1 ~ N(
1 , 12
) and X2 ~ N(
2
2 , 2
) are independently distributed.
(a) What is the variance of Y = pX1 + (1 p)X2?
(b) Show that the variance is minimized when
.
1
12
p
1
1
2
2
1 2
(a)
X1 ~ N(
)
, X2 ~ N(
)
.
2
2
1 , 12 V (
OCTOBER
TOPIC
DESCRIPTIVE STATISTICS (1/2)
Displaying data
Stem and Leaf Diagrams
Frequency Histograms
Relative Frequency Histograms
13
Measures of Central Location
The Mean
The Median
The Mode
Measures of Variability
The Range
The Variance and the Standa
OCTOBER
TOPIC
DISCRETE RANDOM VARIABLES
27
1. Random Variables
2. Probability Distributions for Discrete RV
3. The Binomial Distribution
RANDOM VARIABLES
A random variable is a numerical quantity that is
generated by a random experiment.
Random variables
Prequisites
Course language
Course type
Mode of Delivery
Learning and teaching strategies
Instructor(s)
Course objective
Learning outcomes
Course Content
None
English
Must
Face-to-Face
Lecture, Problem Solving
Assist.Prof.Dr. Gne Ertun
Provides a student
NOVEMBER
TOPIC
17
SAMPLING DISTRIBUTIONS AND
CENTRAL LIMIT THEOREM
INTRODUCTION
A statistics is a function of unknown constants
and random variables observed in a sample.
The statistics is used to make inferences
about unknown population parameters.
Becau
OCTOBER
TOPIC
DESCRIPTIVE STATISTICS (2/2)
Relative Position of Data
20
Percentiles and Quartiles
z-scores
The Empirical Rule and
Chebyshevs Theorem,
The Empirical Rule,
Chebyshevs Theorem
( )
RELATIVE POSITION OF DATA
Given an observed value x in a data
NOVEMBER
TOPIC
10
CONTINUOUS RANDOM VARIABLES
CONTINUOUS RANDOM VARIABLES
Suppose X denotes the length of time a
commuter just arriving at a bus stop has to
wait for the next bus. If buses run every 30
minutes without fail, then the set of possible
values
DECEMBER
TOPIC
22
CORRELATION AND REGRESSION (1/2)
INTRODUCTION
We can associate to each element of a
population or sample two measurements
x and y, particularly in the case that it is of
interest to use the value of x to predict the
value of y.
For examp
DECEMBER
1
TOPIC
ESTIMATION
INTRODUCTION
The purpose of statistics is to estimate an unknown
parameter of a population and to assess the reliability
of this estimation. Estimation falls into two categories:
point estimation and interval estimation.
INTROD
DECEMBER
15
TOPIC
TEST OF HYPOTHESIS (2/2)
EXAMPLE
A geologist claims that the average grade
of an iron deposit is greater than 15 %Fe
with at the 2.5% level of significance.
To test this claim, 36 holes are drilled in
the deposit and core samples are
col
DECEMBER
TOPIC
22
CORRELATION AND REGRESSION (2/2)
EXAMPLE
We have the following data and we want to fit
a line to the experimental values and obtain
the correlation coefficient.
-2
-1
0
1
2
0
0
1
1
3
EXAMPLE
-2
-1
0
1
2
0
1
=
2
2
1
= 10 0
5
2
2
= 10
1
DECEMBER
8
TOPIC
TEST OF HYPOTHESIS (1/2)
HYPOTHESIS ETYMOLOGY
hupotthmi
+
(hup, below) + (tthmi, I put, place)
I set suggest
Varsayyorum
INTRODUCTION
A hypothesis test is similar to a
scientific method.
A scientist observes the nature and
establishes a
STATISTICS AND
PROBABILITY FOR
ENGNEERS
Minitab Homework
[Yazar adn yazn]
1
I. INTRODUCTION
I want to use the time from I enter the library to leave from the library as my datas. So
I can observe the statistical analysis of my samples about how much time
QUESTIONS
1.) A random sample of 25 Division I-A Football teams is selected and the points they
score during the first week of the 2009 season are recorded. The data are given
below.
3 14 24 20 17 8 13 25 14 20
33 17 3 56 10 35 0 37 14 3
59 49 3 24 16
Mak
QUESTIONS
1.) A sample of 57 cars is selected from the 2004 model year. Data on company,
model, horsepower, city mpg, highway mpg and weight are recorded. The data are
available on the course web page both as a JMP (.jmp). Follow the directions in
the JMP
MONTE CARLO
METODUNA GR
Yrd. Do. Dr. Nilgn DEMR
Uluda niversitesi
Fen Edebiyat Fakltesi
Fizik Blm Bursa
[email protected]
NUPAMC 10-12 Mays 2012 Bitlis-Eren niversitesi
Monte Carlo Metod?
Monte Carlo
Simlasyon Teknii
Sadece sistemi tanmlar,
Onu optimi
