STA2203
CHAPTER 1: DIFFERENTIATION: BASIC CONCEPTS
1.1 The Derivative
Calculus is the mathematics of change, and the primary tool for studying change
is a procedure called differentiation.
Rates of Change and slope
y = mx + c
y
(0, c)
x
x
y
m
x
=
y 2 y1
x
CHAPTER
1:
DISTRIBUTIONS





DISCRETE
Discrete Random Variable
A random variable is a rule that assigns one and only one numerical value to each
simple event of an experiment.
The numerical outcomes of experiments vary from one experiment to another
Tutorial 6
a)
Question 1
Suppose that the following contingency table was set up:
A
B
C
10
20
D
15
25
Find
i)
ii)
iii)
iv)
v)
P(A or C)
P(B and D)
P( B/C)
P(A)
Are the event A and C independent? Are they mutually exclusive?
Why or why not.
Question 2
a) A
Tutorial 7
1. Hupper Corporation produces many types of soft drinks, including Orange Cola. The
filling machines are adjusted to pour 12 ounces of soda into each 12ounce can of Orange
Cola. However, the actual amount of soda poured into each can is not e
Tutorial 5
Question 1
Dinner bill amounts at ABC Restaurant have the following frequency distribution:
Dinner bill ($) Frequency
20 up to 30
2
30 up to 40
6
40 up to 50
8
50 up to 60
4
Find the
i)
Mean.
ii)
Median.
iii)
Mode.
iv)
Range.
v)
Variance and st
Tutorial 4
Question 1
a) A company wishes to review its distribution operation and from its time
sheet records it found that 144 vehicles were loaded in a 24 hour period. A
frequency distribution table was prepared from the data as follows:
Time to load (
Tutorial 1
1.
Compute the derivative of the given function and find the slope of the line that is tangent
to its graph for the specified value x. Hence, find the relevant equation of the tangent line for
the specified value of x = c.
(a)
(b)
(c)
(d)
f(x)
Chapter 12: Simple Linear Regression and Correlation
12.1 Describing the relationship between two variables
Statistics practitioners frequently need to know how two interval variables are related and
how strongly are they related.
A scatter diagram/Scatte
CHAPTER 10: INTRODUCTION TO HYPOTHESIS TESTING
10.1 Concepts of Hypothesis Testing
The null hypothesis refers to any hypothesis we wish to test and is denoted by H0.
The rejection of H0 leads to the acceptance of an alternative hypothesis, denoted by H1.
Chapter 7: CONTINUOUS PROBABILITY DISTRIBUTION
7.1 Probability Density Functions
The following requirements apply to a probability density function
a x b
1.
f (x)
whose range is
.
f ( x ) 0
for all x between a and b
2. The total area under the curve betwe
Chapter 11: CHISQUARED TESTS
11.1: The Chisquare Distribution
The chisquare distribution has only one parameter, called the degrees of freedom. The shape of
a chisquare distribution curve is skewed to the right for small df and becomes symmetric for
l
Chapter 8: Sampling Distribution
8.1 SAMPLING METHODS
1. Simple Random Sample
A simple random sample is a sample selected in such a way that every possible sample with the
same number of observation is equally likely to be chosen.
Assign a number to each
CHAPTER 9: INTRODUCTION TO ESTIMATION
9.1 Concepts of Estimation
The objective of estimation is to determine the approximate value of a population parameter on
the basis of a sample statistic.
9.2 Estimating the Population Mean When The Population Standar
STA2203
CHAPTER 1: DIFFERENTIATION: BASIC CONCEPTS
1.1 The Derivative
Calculus is the mathematics of change, and the primary tool for studying change
is a procedure called differentiation.
Rates of Change and slope
y = mx + c
y
(0, c)
x
x
y
m
x
=
y 2 y1
x
Chapter 3: What is statistics?
3.1 Statistics: Statistics is a group of methods used to collect, analyze, present, and
interpret data and make decision.
In simple words statistics is a way to get information from data.
3.2 Types of statistics
Broadly spea
Tutorial 3
Question 1
What is meant by Statistics.
Question 2
Briefly explain the types of Statistics.
Question 3
Briefly explain the types of variables.
Question 4
Indicate ( ) which of the following variables are qualitative and which are quantitative.
Tutorial 10
Question 1
A study conducted a few years ago claims that adult men spend an average of 11 hours a week
watching sports on television with a standard deviation of 2.2 hours. A recent sample of 100
adult men showed that the mean time they spend
CHAPTER 4: ONE
HYPOTHESIS
SAMPLE
TESTS
OF
Null and alternative hypotheses
The null hypothesis refers to any hypothesis we wish to test and is denoted by H0.
The rejection of H0 leads to the acceptance of an alternative hypothesis, denoted by
H1.
A null hy
INTI INTERNATIONAL UNIVERSITY
STA2203: QUANTITATIVE METHODS FOR BUSINESS
ASSIGNMENT 1: JANUARY 2015 SESSION
Instructions: Answer ALL questions in the A4 size paper with nice handwriting.
Remember to write your Name, ID Number, Course Code, and Section.
(M
Revised: 24/03/2014
INTI INTERNATIONAL UNIVERSITY
COURSE STRUCTURE
COURSE:
STA2203 QUANTITATIVE METHODS FOR BUSINESS (3 cr)
PREREQUISITE:
None
COURSE DESCRIPTION:
This course consists of topics from derivatives, anti derivatives, applications of definite
Chapter 2
2.1
Integration
STA2203
Indefinite Integration and Differential Equations
The Indefinite Integral
The family of all antiderivatives of f(x) is written
f ( x) dx F ( x) C
and is called the
indefinite integral of f(x).
where
is integral symbol
f
Chapter 1
1.1
Differentiation: Basic Concepts
STA2203
The Derivative
Calculus is the mathematics of change, and the primary tool for studying change is a procedure
called differentiation.
Slope and Rates of Change
Rate of change of a function
Rate of cha
NTE
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INTI
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LAUREATE 1NTERN'5CFIONAL UNIVERSETIE'
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FINAL
Examination Paper
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Assignment 2
1.
Express the function
x , 2 x 2
y=x
as a piecewisedefined function. Hence sketch the graph.
2.
Given
f(x) =
g(x) =
Find
f
(x ) .
g
Find the following limits.
(a)
lim
x+22
x2
x 2
(4 marks)
+
x 2
(b)
x
x
lim
(3 marks)
x+1
2 xx
lim
x
Tutorial 11
Question 1
The following table gives the twoway classification of 400 randomly selected
persons based on their status as a smoker or a nonsmoker and on the number visits
they made to their physicians last year.
Smoker
Nonsmoker
Visit to the p
Tutorial 9
Question 1
A) The following observation was drawn from a normal population, the population
variance is 100.
12, 8, 22, 15, 30, 6, 39, 48
Determine the 90% confidence interval of the population mean.
B) The following data were drawn from a norma