Page 9 - DMTH404_STATISTICS

Sachin Kaushal, Lovely Professional University Unit 1: Sample Space of A Random Experiment

Unit 1: Sample Space of A Random Experiment Notes

CONTENTS

Objectives
Introduction
1.1 Random Experiments
1.2 Sample Space

1.3 Events
1.4 Algebra of Events
1.5 Summary
1.6 Keywords

1.7 Self Assessment
1.8 Review Questions
1.9 Further Readings

Objectives

After studying this unit, you will be able to:
 Discuss random and non-random experiments,
 Explain the sample space of a random experiment and classify it as discrete or continuous,

 Describe events with subsets ofthe sample space,
 Discuss and identify relations between events,

Introduction

Many situations arise in our everyday life as well as in scientific, administrative or organisational
work, where we cannot predict’the outcome of our actions or of the experiment we are conducting.
Such experiments, whose outcome cannot be predicted, are called random experiments. We give
a wide variety of examples in Sec. 5.2 to explain the concept of a random experiment. The set of
all possible outcomes of an experiment is called its sample space. We have illustrated the
different types of sample spaces that we generally come across in Sec. 5.3. Section 5.4 deals with
the study of events associated with a random experiment whose sample space is either finite or
countably infinite. In Sec. 5.5 we discuss methods of combining events to generate new events.
Here is a list of what you should be able to do by the end of this unit.

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