7
Statistical Inference: using samples to infer properties of populations.
7.1
Introduction.
We have seen how to describe sample data using graphical methods and summary statistics
(see Section 1). We now move on to consider how we can generalise from a s
4.
Some particular random variables.
4.1
The binomial random variable.
This is based on a simple random event called a Bernoulli trial. This event has only two
outcomes:
success with Pr(success) = p
(a fixed quantity)
failure with Pr(failure) = 1 - p
(= q
2
Probability
2.1
The concept of probability arises in different ways.
2.1.1 Using sample data we can associate the idea of probability with relative frequency.
The following table gives the frequency of weights in kg of the waste from machining 80
metal
8 Control Charts
8.1 Introduction
In their simplest form Control Charts are an application of the Central Limit Theorem
to manufacturing proCesses. The early ideas were developed by Walter Shewhart at
the Bell Laboratories in the USA in the 1920s but were
9
Joint distributions: Correlation and Regression.
9.1
Discrete random variables.
When studying the relationship between two rvs that co-vary, ie vary together for different
objects or individuals we need the concept of the joint distribution of the two r
Second Year Engineering:
1
Applied Probability and Statistics
Descriptive Statistics
Scientific and Engineering measurements always vary to some extent:
The tensile strength of a batch of reinforcing rods
The hardness of several samples of metal
Wind spee
5
Quantile-Quantile or Q-Q plots, (also referred to as probability plots)
5.1
Quantiles are positions on a variable scale that correspond to fractions of the cumulative
distribution, eg the 50th percentile (ie the median) is the 0.50 quantile, ie the posi
3
Random Variables
3.1
It was noted earlier that sample spaces can be either discrete (finite or infinite but
countable) or continuous (uncountable). For each type of sample space we can define a
random variable (rv).
Example 3.1 (A discrete rv). Toss two
Name _ Date _
Chapter 7
Student Version
Chapter 7 Objectives:
Describe the purpose of the transport layer in managing the transportation of data in end-toend communication.
Describe characteristics of the TCP and UDP protocols, including port numbers and
Name _ Date _
Chapter 4
Student Version
Chapter 1 Objectives:
Explain how physical layer protocols and services support communications across data
networks.
Build a simple network using the appropriate.
Explain the role of the data link layer in supportin
Name _ Date _
Chapter 2
Student Version
Chapter 2 Objectives:
Explain the purpose of Cisco IOS.
Explain how to access and navigate Cisco IOS to configure network devices.
Describe the command structure of Cisco IOS software.
Configure hostnames on a Cisco
Name _ Date _
Chapter 8
Student Version
Chapter 8 Objectives:
Describe the structure of an IPv4 address.
Describe the purpose of the subnet mask.
Compare the characteristics and uses of the unicast, broadcast and multicast IPv4 addresses.
Explain the need
Name _ Date _
Chapter 10
Student Version
Chapter 10 Objectives:
Explain how the functions of the application layer, session layer, and presentation layer work
together to provide network services to end user applications.
Describe how common application l
Name _ Date _
Chapter 5
Student Version
Chapter 5 Objectives:
Describe the operation of the Ethernet sublayers.
Identify the major fields of the Ethernet frame.
Describe the purpose and characteristics of the Ethernet MAC address.
Describe the purpose of
Name _ Date _
Chapter 9
Student Version
Chapter 9 Objectives:
Explain why routing is necessary for hosts on different networks to communicate.
Describe IP as a communication protocol used to identify a single device on a network.
Given a network and a sub
Name _ Date _
Chapter 3
Student Version
Chapter 3 Objectives:
Explain how rules are used to facilitate communication.
Explain the role of protocols and standards organizations in facilitating interoperability in
network communications.
Explain how devices
Name _ Date _
Chapter 6
Student Version
Chapter 6 Objectives:
Explain how network layer protocols and services support communications across data
networks.
Explain how routers enable end-to-end connectivity in a small to medium-sized business
network.
Det