sta2203 / Chap 2/ Page 1 of 28
CHAPTER 4
PROBABILITY
CHAPTER OUTLINE:
4.1
INTRODUCTION
4.2
MEASURES OF PROBABILITY
4.3
PROBABILITY OF COMBINED EVENTS
4.4
PROBABILITIES AND VENN DIAGRAM
4.5
MUTUALLY EXCLUSIVE EVENTS
4.6
CONDITIONAL PROBABILITY
4.7
INDEPEND

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: CHI-SQUARED TESTS
11.1: The Chi-square Distribution
The chi-square distribution has only one parameter, called the degrees of freedom. The shape of
a chi-square 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

Chapter 4: Graphical and tabular descriptive techniques
4.1: Organizing and Graphing Qualitative Data
Raw Data
Data recorded in the sequence in which they are collected and before they are processed or
ranked are also called raw data.
Example 1
INTI UC co

Chapter 5: Numerical Descriptive Measures
5.1: Measures of Central Tendency for Ungroup Data (mean, mode, median)
5.1.1 The Arithmetic Mean
The arithmetic mean is the sum of all the observations divided by the number of observations. It
is written in stat

Chapter 6: Probability
6.1 Experiment, Outcome and Sample space
Random experiment
A random experiment is a process or course of action that results in one of a number of
possible outcomes. The outcome that occurs cannot be predicted with certainty.
Exampl

CHAPTER 2: INTEGRATION
2.1 The General Integration or Antiderivative of a Function
Rules for Integrating Common Functions
The constant rule:
k and C are constant
kdx kx C
The power rule:
n
x dx
The logarithmic rule:
x n 1
C
n 1
1
x dx ln x C
The exponent

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)

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 (

sta2203 / tut 4 / Page 1 of 6
STA 2203
TUTORIAL 4A
1.
An ordinary die is thrown. Find the probability that the number obtained
(a)
(b)
(c)
2.
[1/3]
[1]
[2/3]
A card is drawn at random from an ordinary pack containing 52 playing cards.
Find the probability

sta2203/ Chap 3 / Page 1 of 34
CHAPTER 3
DESCRIPTIVE STATISTICS
CHAPTER OUTLINE:
3.1
INTRODUCTION (ONLINE VIDEO)
3.2
DATA ORGANIZATION (FREQUENCY DISTRIBUTION)
3.2.1 UNGROUPED FREQUENCY DISTRIBUTION
3.2.2 GROUPED FREQUENCY DISTRIBUTION
3.2.3 CUMULATIVE FR

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 11
Question 1
The following table gives the two-way 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

Tutorial 12
Question 1
(a)
A consumer welfare agency wants to investigate the relationship between the size
of houses and rents paid by tenants in a small town. The agency collected the
following information on the sizes (in hundred of square feet) of fiv

Tutorial 8
Question 1
(i)
Explain the central limit theorem.
(ii)
The mean number of years of experience of a certain population of salespersons is 10
years. The standard deviation is 3 years. What is the probability that a random sample of
81 of these sa

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

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 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 12-ounce 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

STA2203
QUIZ 1 _
AUG2016 l 2
NAME
ID NO
SECTION
Answer ALL TWO (2) questions on this paper.
1. Find the following:
(a) I 3x2 (22:) 05: (2 marks)
3' 2
(b) j [HH] dx (3 marks)
x
Write your solutions for Q1 here.
(Q) f 3x2(2-K)<1>< r f (' 6x2 -3z<3) dx
3
= 6