The Birthday Paradox

Objective

The objective of this project is to prove whether or not the birthday paradox holds true by looking at random groups of 23 or more people.

Introduction

The Birthday Paradox states that in a random gathering of 23 people, there is a 50% chance that two people will have the same birthday. Is this really true?

Terms, Concepts and Questions to Start Background Research

Birthday Paradox, probability theory, converse probability

Bibliography

There are a number of different sites that explain the Birthday Paradox and explain the statistics. Here is one to get you started:

http://en.wikipedia.org/wiki/Birthday_paradox

Experimental Procedure

1) First you will need to collect birth dates for random groups of 23 or more people. Ideally you would like to get 10-12 groups of 23 or more people so you have enough different groups to compare. Here are a couple of ways that you can find a number of randomly grouped people.

• Most schools have around 25 students in a class, so ask a teacher from each grade at your school to pass a list around each of his/her classes to collect the birth dates for students in each of his/her classes.
• Use the birth dates of players on major league baseball teams. (Note: this information can easily be found on the internet).

2) Next you will need to sort through all the birth dates you have collected and see if the Birthday Paradox holds true for the random groups of people you collected. How many of your groups have two or more people with the same birthday? Based on the birthday paradox, how many groups would you expect to find that have two people with the same birthday?

CAT 2007 EXAMINATION DATES OUT

CAT 2007 - Common Admission Test 2007 Notification, Dates

Common Admission Test (CAT 2007) for MBA Admissions in 2008 for in the following institutes will be held on Sunday, November 18, 2007, for their various programmes. :

• The Indian Institutes of Management (IIM ),Ahmedabad (IIM A)
• The Indian Institutes of Management (IIM), Bangalore (IIM B)
• The Indian Institutes of Management (IIM) Calcutta (IIM C)
• The Indian Institutes of Management (IIM) Indore (IIM Indore)
• The Indian Institutes of Management (IIM) Kozhikode (IIM K)
• The Indian Institutes of Management (IIM) Lucknow (IIM L)
• and other Management Institutes in India who accept CAT Scores .

IMPORTANT DATES TO CHECK:

CAT 2007 Important Dates
CAT Eligibility
CAT Bullien Download
IIM Admission Process
CAT 2007 Test Centers
CAT Test Pattern
HOW WAS CAT 2006 ?- Check out CAT 2006 Review Articles

Syllabus For Engineering

Here is the syllabus for emgineering by Mumbai University.
Select any link below to see that particular feild.
To see the detailed information about the lectures,periods,practicals,term works etc. click on the respective year link given above the semesters of that year.

• Electronics and Telecommunication Engineering
• Electronics Engineering
• Computer Engineering
• Information Technology
• Mechanical Engineering
• Sciences And Humanities

Sciences And Humanities

Sciences And Humanities

Syllabus

To see the detailed information about the lectures,periods,practicals,term works etc. click on the respective year link given above the semesters of that year.(Eg. See First Year Below)

	First Year
	First Semester	Second Semester
	1. Applied Mathematics-I	1. Applied Mathematics-II
	2. Applied Science - I	2. Applied Science - II
	3. Applied Mechanics	3. Engineering Drawing
	4. Basic Electricity and Electronics	4. Communication Skills
	5. Computer Programming - I	5. Computer Programming - II

Mechanical Engineering

Mechanical Engineering

Syllabus

To see the detailed information about the lectures,periods,practicals,term works etc. click on the respective year link given above the semesters of that year.(Eg. See First Year Below)

	First Year
	First Semester	Second Semester
	1. Applied Mathematics-I	1. Applied Mathematics-II
	2. Applied Science - I	2. Applied Science - II
	3. Applied Mechanics	3. Engineering Drawing
	4. Basic Electricity and Electronics	4. Communication Skills
	5. Computer Programming - I	5. Computer Programming - II
	Second Year
	Third Semester	Fourth Semester
	1. Applied Mathematics-III	1. Computational Mathematics
	2. Strength of Materials	2. Kinematics of Machinery
	3. Industrial Electronics	3. Thermal Engineering
	4. Machine Drawing	4. Materials Technology
	5. Production Process I	5. Production Process II
	6. Applied Thermodynamics	6. Graphical User Interface Database Management
	7. Machine Shop Practice I	7. Machine Shop Practice II
	Third Year
	Fifth Semester	Sixth Semester
	1. Mechanical engineering Measurements	1. Design of Machine Elements I
	2. Dynamics of Machinery I	2. Dynamics of Machinery II
	3. Fluid Mechanics	3. Mechatronics
	4. Heat and Mass Transfer	4. Hydraulic Machinery
	5. Data Structures	5. Power Plant Engineering
	6. Presentation and Communication Techniques	6. Internal Combustion Engines
	Final Year
	Seventh Semester	Eighth Semester
	1. Design of Machine Elements II	1. Design of Mechanical Systems
	2. CAD/CAM & Finite Element Analysis	2. Refrigeration & Air-Conditioning
	3. Manufacturing Planning & Control	3. Industrial Engineering & Enterprise Resource Planning
	4. E-Commerce and Industrial Financing	4. Elective – II
	5. Elective – I	5. Project – B
	6. Project – A