E The probability that house sales will increase in the next 6 months is estimated to be 0.25. The probability that the interest rates on housing
loans will go up in the same period is estimated to be 0.74. The probability that house sales or
E A summary measure that is computed to describe a characteristic from only a sample of the population is called
Response: a statistic
E A business venture can result in the following outcomes (with their corresponding chance of occu
E The employees of a company were surveyed on questions regarding their educational background (college degree or no college degree) and
marital status (single or married). Of the 600 employees, 400 had college degrees, 100 were single, and 60
EE Researchers are concerned that the weight of the average American school child is increasing implying, among other things, that children's
clothing should be manufactured and marketed in larger sizes If X is the weight of school children sam
Which of the following statements about the median is not true?
Response: It is more affected by extreme values than the arithmetic mean.
Which of the following is a discrete quantitative (numerical) variable?
Response: the number
5: if two events are mutually exclusive, what is the probability that both occur at the same time?
5: If two events are mutually exclusive and collectively exhaustive, what is the probability that both occur?
Statistics and Its Application
Exam Date: 14 February 2017 _'
Duration: 1 Hour
SWOLUT l ON
1. The test paper consists of 5 questions. Please answer all in
the provided space.
2. The total
EXPLORATORY DATA ANALYSIS (EDA)
In SPSS, the procedures which are usually used to obtain descriptive statistics for both
categorical and continuous variables are DESCRIPTIVES, FREQUENCIES and EXPLORE.
1. Click on Ana
Over the years, studies have consistently illustrated that physically active people remain healthier
and are able to perform better on tests of cerebral or intellectual ability. (Florida National
University, 2017) The aim of carrying out
Total perceived stress
Case Processing Summary
The value of Skew
BB113 Statistics And Its Application
X X2 X n
100% ; Z
P(A and B)
P(A | B)
(X i X) 2
P(A and B) P(A | B) P(B)
Two events are independent if and only if
When play them the most
In between class
Early morning before classes
In the evening after classes
BB113 Statistics and Its Application
: Assignment BB113 Statistics and Its Application
1. Due date is on 10 March 2017(Friday), 5pm.
2. This is a group assignment (5 members per group).
3. Each group need to sub
Technologies has been advancing throughout the years, and in this 21 st century there
are countless of technologies at hand that are beneficial to people such as iPad, smartphones,
laptop, i-Watch, and many more. One of the many benefits of t
1. Do you read the news ?
2. Do you read the news online ?
3. Do you read the news through newspaper ?
4. Do you enjoy reading news through newspaper ?
5. Do you think reading newspaper benefits you ?
6. Where do you read
MF004 INTRODUCTION TO PROBABILITY AND STATISTICS
MF004 INTRODUCTION TO PROBABILITY AND STATISTICS
TUTORIAL 8 of CHAPTER 6
Targets of Tutorial 8:
By the end of this tutorial, students should able:
To transform given problem X into standard sc
INTRODUCTION TO PROBABILITY AND STATISTICS (MF004)
SEPT DEC 2016
By the end of this assignment, student will:
1. Collect and organize categorical, discrete, or continuous data and display the data using
charts and grap
NOTE: Students are required to fill
in the followings clearly before
Nurazeera Binti Md Suder
Subject code & name:
Intro to Probability and Statistics
Centre for Pre- U Studies
Chapter 1 Business Equations
and Graphs I
A function is a rule describing the
relationship between variables.
Two types of variables: Independent
variable and dependent variable.
A mathematical function y = f(x)
The variable y depends upon (is a
(Rosen 5th ed., 2.1)
The foundation of computer programming.
Most generally, an algorithm just means a definite procedure for performing some
sort of task.
A computer program is simply a description of an algorithm in a language
The Theory of Sets
(Rosen 5th ed., 1.6-1.7)
Introduction to Set Theory (1.6)
A set is a new type of structure, representing an unordered collection (group,
plurality) of zero or more distinct (different) objects.
Set theory deals with operations between,
The study of the number of ways to put
things together into various combinations.
E.g. In a contest entered by 100 people,
how many different top-10 outcomes could
E.g. If a password is 6-8 letters and/or
(Rosen 5th ed., 2.7)
A matrix is a rectangular array of objects (usually numbers).
An mn (m by n) matrix has exactly m horizontal rows, and n vertical columns.
Plural of matrix = matrices
An nn matrix is called a square matrix, whose order is n.
Predicate Logic (1.3)
Predicate logic is an extension of propositional logic that permits concisely
reasoning about whole classes of entities.
Propositional logic (recall) treats simple propositions (sentences) as atomic
In contrast, predicate l
Nesting of Quantifiers
Example: Let the u.d. of x & y be people.
Let L(x,y)=x likes y (a predicate w. 2 f.v.s)
Then y L(x,y) = There is someone whom x likes. (A predicate w. 1 free variable, x)
Then x (y L(x,y) =
Everyone has someone whom they like.
In the real world, we often dont know
whether a given proposition is true or false.
Probability theory gives us a way to reason
about propositions whose truth is uncertain.
Useful in weighing evidence, diagnosing
Basic Proof Methods
(Rosen 5th ed., 1.5 & 3.1)
Nature & Importance of Proofs
In mathematics, a proof is:
a correct (well-reasoned, logically valid) and complete (clear, detailed)
argument that rigorously & undeniably establishes the truth of a
Foundations of Logic
(Rosen 5th ed., 1.1-1.4)
Mathematical Logic is a tool for working with complicated compound statements. It
A language for expressing them.
A concise notation for writing them.
A methodology for objectively reasoning about
(Rosen 5th ed., 1.8)
From calculus, you are familiar with the concept of a real-valued function f,
which assigns to each number xR a particular value y=f(x), where yR.
But, the notion of a function can also be naturally generalized to the concep