1. THEORITICAL DISTRIBUTIONS
IN BUSINESS STATISTICS
AFTERSCHO☺OL
– DEVELOPING CHANGE MAKERS
CENTRE FOR SOCIAL ENTREPRENEURSHIP
PGPSE PROGRAMME –
World’ Most Comprehensive programme in social
entrepreneurship & spiritual entrepreneurship
OPEN FOR ALL FREE FOR ALL
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

2. THEORITICAL DISTRIBUTIONS
IN BUSINESS STATISTICS
Dr. T.K. Jain.
AFTERSCHO☺OL
Centre for social entrepreneurship
Bikaner M: 9414430763
tkjainbkn@yahoo.co.in
www.afterschool.tk, www.afterschoool.tk
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

3. A COIN IS TOSSED 8 TIMES,
WHAT IS THE PROBABILITY OF
GETTING 4 HEADS?
NCR*P^R*Q^(N-R)
•
• 8C4*(1/2)^4 *(1/2)^4
• =70*1/256
• =35/128 answer.
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4. 1st and 3rd quartiles of a normal
distribution are 47.3 and 52.7
respectively, what is the mode and
what is mean deviation?
• First quartile is : μ- .675σ = 47.3
• 3rd quartile is : μ+ .675σ = 52.7
• Adding these we get: 2 μ = 100, μ=50, σ=4
• Therefore mode = 50 (because
mean=mode=median).
• Mean deviation = .8* σ = 3.2 answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

5. Out of 500 workers in a factory the
mean wages and standard
deviation are 500 and 48
respectively. What is the probability
that a worker selected at random is
having wages more than 600?
P (X >600)
•
• Or 1 – P (X< = 600)
• 1 – p(X -500/48 < = 600-500/48)
• Or 1 – p(2.08) or 1-.9624 =.0376
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6. Out of 500 workers in a factory the
mean wages and standard
deviation are 500 and 48
respectively. What is the number of
workers drawing wages more than
600?
• As per last solution, probability is =.0376
• 500 *.0376 = 18.8 answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

7. Out of 500 workers in a factory the
mean wages and standard
deviation are 500 and 48
respectively. What is the number of
workers drawing wages less than
450?
• P (X <450
• Or 1 – P (X>= 450)
• 1 – p(500-x/48 > = 500-450/48)
• Or 1 – p(1.04) or 1-.7016 =.2984
• No of workers = .2984*500 = 149
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8. Out of 500 workers in a factory the
mean wages and standard
deviation are 500 and 48
respectively. What is the number of
workers drawing wages between
400 and 548?
• P (400<X <548)
• p(500-400/48 < x < 548-500/48)
• Or p(2.08) – p(1)
• .9624 - .6826 = .2798
• .2798*500 = 140 answer.
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9. 100 workers out of a group of
workers have wages less than 430.
The mean and Standard deviation
of the entire group is 500 and 100.
What is the total number of persons
in the group (normal distribution
based)?
• P (X-500/100 < 430-500/100) = 100/N
• Solve it and N = 413 ans.
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10. ABOUT AFTERSCHO☺OL
Afterschoool conducts three year integrated PGPSE
(after class 12th along with IAS / CA / CS) and 18 month
PGPSE (Post Graduate Programme in Social
Entrepreneurship) along with preparation for CS / CFP /
CFA /CMA / FRM. This course is also available online
also. It also conducts workshops on social
entrepreneurship in schools and colleges all over India –
start social entrepreneurship club in your institution today
with the help from afterschoool and help us in developing
society.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

11. Why such a programme?
• To promote people to take up entrepreneurship
and help develop the society
• To enable people to take up franchising and
other such options to start a business / social
development project
• To enable people to take up social development
as their mission
• To enable people to promote spirituality and
positive thinking in the world
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

12. Who are our supporters?
• Afterschoolians, our past beneficiaries,
entrepreneurs and social entrepreneurs
are supporting us.
• You can also support us – not necessarily
by money – but by being promotor of our
concept and our ideas.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

13. About AFTERSCHO☺OL PGPSE – the
best programme for developing great
entrepreneurs
• Most flexible, adaptive but rigorous programme
• Available in distance learning mode
• Case study focused- latest cases
• Industry oriented practical curriculum
• Designed to make you entrepreneurs – not just
an employee
• Option to take up part time job – so earn while
you learn
• The only absolutely free course on internet
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

14. Workshops from
AFTERSCHO☺OL
• IIF, Delhi
• CIPS, Jaipur
• ICSI Hyderabad Branch
• Gyan Vihar, Jaipur
• Apex Institute of Management, Jaipur
• Aravali Institute of Management, Jodhpur
• Xavier Institute of Management, Bhubaneshwar
• Pacific Institute, Udaipur
• Engineering College, Hyderabad
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15. Flexible Specialisations:
• Spiritualising business and society
• Rural development and transformation
• HRD and Education, Social Development
• NGO and voluntary work
• Investment analysis,microfinance and inclusion
• Retail sector, BPO, KPO
• Accounting & Information system (with CA / CS /CMA)
• Hospital management and Health care
• Hospitality sector and culture and heritage
• Other sectors of high growth, high technology and social
relevance
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

16. Salient features:
• The only programme of its kind (in the whole world)
• No publicity and low profile course
• For those who want to achieve success in life – not just a
degree
• Flexible – you may stay for a month and continue the rest of
the education by distance mode. / you may attend weekend
classes
• Scholarships for those from poor economic background
• Latest and constantly changing curriculum – keeping pace
with the time
• Placement for those who are interested
• Admissions open throughout the year
• Latest and most advanced technologies, books and study
material
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

17. Components
• Pedagogy curriculum and approach based on IIM Ahmedabad and ISB
Hyderabad (the founder is alumnus from IIMA & ISB Hyderabad)
• Meditation, spiritualisation, and self development
• Essential softwares for business
• Business plan, Research projects
• Participation in conferences / seminars
• Workshops on leadership, team building etc.
• Written submissions of research projects/articles / papers
• Interview of entrepreneurs, writing biographies of entrepreneurs
• Editing of journals / newsletters
• Consultancy / research projects
• Assignments, communication skill workshops
• Participation in conferences and seminars
• Group discussions, mock interviews, self development diaryng
• Mind Power Training & writing workshop (by Dr. T.K.Jain)
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18. Pedagogy
• Case analysis,
• Articles from Harvard Business Review
• Quiz, seminars, workshops, games,
• Visits to entrepreneurs and industrial visits
• Presentations, Latest audio-visuals
• Group discussions and group projects
• Periodic self assessment
• Mentoring and counselling
• Study exchange programme (with institutions out of India)
• Rural development / Social welfare projects
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19. Branches
• AFTERSCHO☺OL will shortly open its
branches in important cities in India
including Delhi, Kota, Mumbai, Gurgaon
and other important cities.
Afterschooolians will be responsible for
managing and developing these branches
– and for promoting social entrepreneurs.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

20. Case Studies
• We want to write case studies on social
entrepreneurs, first generation
entrepreneurs, ethical entrepreneurs.
Please help us in this process. Help us to
be in touch with entrepreneurs, so that we
may develop entrepreneurs.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

21. Basic values at AFTERSCHO☺OL
• Share to learn more
• Interact to develop yourself
• Fear is your worst enemy
• Make mistakes to learn
• Study & discuss in a group
• Criticism is the healthy route to mutual support
and help
• Ask fundamental questions : why, when, how &
where?
• Embrace change – and compete with yourself
only
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22. www.afterschoool.tk
social entrepreneurship for better
society
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS