2DI90
Probability &
Statistics
2DI90 Chapter 3 of MR
Random Variables ( 2.8 MR)!
Example:
X is the random variable corresponding to the temperature of
the room at time t.
x is the measured temperature of the room at time t.
2
Discrete Random Variables (

2DI90
Probability &
Statistics
2DI90 Chapter 4 of MR
Recap - Random Variables ( 2.8 MR)!
Example:
X is the random variable corresponding to the temperature of
the room at time t.
x is the measured temperature of the room at time t.
2
Continuous Random V

2DI90
Probability &
Statistics
2DI90 Part V (Chapter 5 and section 4.7 of MR)
Multiple Random Variables!
Sometimes we must deal with multiple random variables
simultaneously
Example: Let X and Y denote the blood pressure and heart rate
of a randomly chose

2DI90
Probability &
Statistics
2DI90 Integral Calculus Review
Continuous Random Variables - Motivation!
Discrete random variables are not the end of the story
Let X the be a random variable representing the temperature
in a museum room (in centigrade degr

2DI90
Probability &
Statistics
2DI90 Computer Simulations (slides only)
Computer Simulations!
The knowledge and tools we developed so far allow us to
construct models for many processes where one can use
randomness as a very useful building block:
Modeli

2DI90
Probability &
Statistics
2DI90 Chapter 9 of MR
Motivation
Often times we must decide if a certain claim is
reasonable or not, based on data:
For instance, the manufacturer of Beerios
claims their unique cereal contains less sugar than
the leading br

2DI90
Probability &
Statistics
2DI90 Chapter 7 of MR
What Have we Done so Far?
Last time we introduced the concept of a dataset and seen
how we can represent it in various ways
But, how did this dataset came into being?
Example: 100 balls from the brand H

2DI90
Probability &
Statistics
2DI90 Chapter 8 of MR
Interval Estimators
So far we have constructed and studied point estimators for
parameters. We have shown that if we are careful, the value of
the estimate is can be very close to the true parameter val

2DI90
Probability &
Statistics
2DI90 Intro and Chapter 2 of MR
Before we start
Lecturer: Rui M. Castro
Office: MF4.075
Phone: (040 247) 2499
Email: rmcastro@tue.nl (include the code 2DI90 in the subject)
Instructors:
Thembile Mzolo
Marta Regis
Nazanin Noo

2DI90
Probability &
Statistics
2DI90 Chapter 6 of MR
What is Statistics?
According to the Encyclopedia Britannica:
Statistics is the art and science of gathering, analyzing, and
making inferences from data
In his book Statistical Models, A. C. Davison ans

Intermezzo - Week 1
May 5, 2014
Question 1. A bin with 50 parts contains 5 that are defective. A sample of two parts is taken
without replacement and the outcome of the random experiment is the number of defectives in
the sample.
(a) What is the sample sp