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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
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
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.


    www.afterschoool.tk   AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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
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
www.afterschoool.tk   AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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
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
www.afterschoool.tk   AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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.
www.afterschoool.tk   AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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.

www.afterschoool.tk   AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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
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
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
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
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


www.afterschoool.tk   AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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
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
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)



www.afterschoool.tk     AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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


www.afterschoool.tk   AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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
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
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
www.afterschoool.tk   AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
www.afterschoool.tk
   social entrepreneurship for better
                society




www.afterschoool.tk   AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

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Correlation18october

  • 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. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  • 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 www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  • 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 www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  • 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. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  • 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. www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  • 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 www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  • 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) www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  • 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 www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  • 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 www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
  • 22. www.afterschoool.tk social entrepreneurship for better society www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS