QUANTITATIVE METHODS FOR MANAGEMENT

PRESENTATION ON

RANDOM EXPERIMENT, SAMLPE SPACE AND EVENTS

Prsented by:-

Sandeep Rai

Shailendra Tiwari

Sandeep Patel

Ajay kumar Nirmalkar

INSTITUTE OF PROFESSIONAL EDUCATION & RESEARCH,

BHOPAL

SUBMITTED TO-Prof. Vaibhav Lowelkar

RANDOM EXPERIMENTS

An random experiments is an process which produces outcomes.

If we toss a fair coin we may obtain either a head or a tail so, tossing this fair coin is an experiment which can produce two out comes, either head or tail.

EVENTS

An event is the outcome of an experiment.Formally, any subset of the sample space is an event.Any event which consists of a single outcome in the sample space is called an elementary or simple event. Events which consist of more than one outcome are called compound events.

If the experiment is to roll a die, an event can be definedas obtaining a (1,2,3,4,5,6) an the upper face of the dice.

SAMPLE SPACE

Sample space is a set of all possible outcomes of an experiment. It’s denoted by S.

If a single die rolling experiment, The sample space will be –

S = {1,2,3,4,5,6}

Experiment Tossing a coin: Sample space S = {Heads, Tails}