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Law of Conditional Probability Definition: The Conditional Probability of an event A given that another event B has already o
Law of Conditional Probability
Definition: The Conditional Probability of an event A given that another event B has already occurred is the probability of A among all the outcomes where B has Occurred. 🖇Formula : P(A|B) = P(A 🧲 B)/ P(B) where; P(A 🧲 B) = Both A & B Occurred P(B) = Prob. of event B P(B) > 0 📊Important Properties: P(A|B) = 0 if P(A 🧲 B) = 0 P(A|B) = 1 if A ↪️ B & P(B) > 0 P(A|B) #️⃣ P(A) in general P(A U B|C) = P(A|C)+ P(B|C) - P(A 🧲 B|C) 📍Numerical Example: A Bag Contains 3️⃣🔴 & 2️⃣🔵 Balls, 2 Ball are Drawn one by one without replacement. What is the Prob. that the second ball is red given that the first ball was red? 📚Steps: 1. P(R1) = 3/5 Selection 🔴 Ball, Remining 2🔴 & 2️⃣🔵 2. P(R2|R1) =2/4 = 1/2 💠Real-Life Examples: 1. Medical Testing 2. Email Spam Find 3. Quality Control 🔸Key Difference: Conditional v/s Independent Events ✅Tips: 🚫Common Mistakes: ♻️Quick Revision:

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MoSPI: Transforming Data into Development for Viksit Bharat MoSPI's Achievements, Reforms, and Initiatives Towards a Viksit B
MoSPI: Transforming Data into Development for Viksit Bharat MoSPI's Achievements, Reforms, and Initiatives Towards a Viksit Bharat This video highlights the Ministry of Statistics and Programme Implementation's key achievements, major reforms, and strategic initiatives aimed at strengthening India's official statistical system. Through modernisation, innovation, and improved data quality, MoSPI is enabling evidence-based governance and supporting the nation's journey towards a Viksit Bharat. 💻https://youtube.com/@statistics_india/ 📜https://wa.me/channel/0029Vadop5ZBfxoF9Lq8h015 🎟https://www.instagram.com/statistics_india 📧https://t.me/statistics_india_chat ⏺️https://www.fb.com/statistics_india 🌐https://www.threads.net/@statistics_india
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The Organisation Set-up of MoSPI 👑Secretary, MoSPI (Dr. Saurabh Garg, I.A.S.) 1. National Statistical Commission 2. National
The Organisation Set-up of MoSPI 👑Secretary, MoSPI (Dr. Saurabh Garg, I.A.S.) 1. National Statistical Commission 2. National Statistical Office 3. Programme Implementation Wing 4. Indian Statistical Institute (Kolkata) Under the 2.NSO (Director General) 1. National Sample Survey 1.1 Household Survey 1.2 Enterprise Survey 1.3 Field Operations 1.4 Coordination and Quality Control 2. Central Statistics 2.1 Economic 2.2 National Accounts 2.3 Social 2.4 Price 3. Data Governance 3.1 Capacity Development & NSSTA 3.2 Coordination and inter Cooperation Unit 3.3 Administrative Statistics and Police 3.4 Data Information and Innovation 4. Add. Secretary (Admin) 4.1 ISS 4.2 Legal Cell 4.3 Research and Analysis 4.4 ISI 4.5 Media & Publicity 5. Add. Secretary & Financial Advisor 5.1 Budget & Finance 5.2 CA 6. Joint Secretary & Chief Vigilance Officer 6.1 Admin 6.2 SSSD 6.3 State Unit 6.4 Vigilance Under Programme Implementation Wing 1. MPLADs 2. Infrastructure and Project Monitoring
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National Statistical Commission:  The National Statistics Commission (NSC) was constituted with effect from 12 July 2006 with a mandate to evolve policies, priorities and standards in statistical matters. The NSC has four Members besides a Chairperson, each having specialization and experience in specified statistical fields. The Chief Statistician of India, the post created specifically, as the Head of the National Statistical Office is the Secretary of the Commission. He is also the Secretary to the Government of India in the Ministry of Statistics and Programme Implementation. Indian Statistical Institute:  The Indian Statistical Institute (ISI) is an academic institute under the administrative jurisdiction of MoSPI, devoted to the research, teaching and application of statistics, natural sciences and social sciences. Founded by Professor P.C. Mahalanobis in Kolkata on 17 December 1931, the institute gained the status of an Institution of National Importance by an act of the Indian Parliament viz. the Indian Statistical Institute Act, 1959 (57 of 1959). The Headquarters of ISI is located in Kolkata. There are four centres located in Delhi, Bangalore, Chennai and Tezpur. Research in Statistics and related disciplines is the primary activity of the Institute. Teaching activities are undertaken mainly in Kolkata, Delhi and Bangalore. Offices of the Institute located in several other cities in India are primarily engaged in projects and consultancy in Statistical Quality Control and Operations Research. 💻https://youtube.com/@statistics_india/ 📜https://wa.me/channel/0029Vadop5ZBfxoF9Lq8h015 🎟https://www.instagram.com/statistics_india 📧https://t.me/statistics_india_chat ⏺️https://www.fb.com/statistics_india 🌐https://www.threads.net/@statistics_india Like👍🏻, Share⏩ & Subscribe🔔✅ For More Info.
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1. Statistics Wing: The Statistics Wing is the Nodal agency for planning integrated development of the statistical system in the country. The main functions of the Wing include: Coordination of statistical work with a view to identifying gaps in data availability or duplication of statistical work in respect of Departments of the Government of India and State Statistical Bureau (SSBs) and to suggest necessary remedial measures. Laying down and maintenance of norms and standards in the field of statistics, evolving concepts, definitions and methodology of data collection, processing of data and dissemination of results. Advise the Departments of the Government of India on statistical methodology and on statistical analysis of data. Preparation of National Accounts as well as publication of annual estimates of national income, gross/net domestic product, Government and private final consumption expenditure, capital formation, savings, capital stock and consumption of fixed capital, quarterly estimates of Gross Domestic Product, preparation of National Input-Output Transactions Table, State level estimates of domestic product and fixed capital formation of supra-regional sectors, preparation of comparable estimates of State Domestic Product (SDP) at current prices Compilation and release of the Index of Industrial Production (IIP) every month in the form of Quick Estimates, conducting Annual Survey of Industries (ASI) and providing statistical information, to assess and evaluate the changes in the growth, composition and structure of the organized manufacturing (factories) sector. Compilation and release of monthly Consumer Price Index Numbers for Urban Non-Manual Employees. Development of Environment Statistics, development of methodology, concepts and preparation of National Resource Accounts for India. Organization and conduct of periodic all India Economic Census and follow-up sample surveys. Conducting nation-wide sample surveys on various socio-economic aspects, such as, employment, consumer expenditure, housing conditions, debt and investment, land and livestock holdings, literacy, education, health, family welfare, unorganized manufacturing and services etc, to provide the database needed for development, research, policy formulation and economic planning. Conducting quality checks and audit of statistical surveys and data sets through technical scrutiny and sample checks and generate correction factors and alternate estimates, if required. Dissemination of statistical information through a number of regular or adhoc publications to Government, semi-Government or private data users/agencies, and dissemination of data, on request, to United Nations Agencies like United Nations Statistics Division, Economic and Social Commission for Asia and the Pacific, International Labour Organization and other relevant international agencies. Administration of the Grants-in-aid scheme to provide grants to registered nongovernmental organizations and research institutions of repute for undertaking special studies or surveys, printing of statistical reports and finance seminars, workshops or conferences relating to different subject areas of official statistics. Undertaking methodological studies and pilot surveys for evolving better sampling techniques and estimation procedures including small area estimates. 2. Programme Implementation Wing: The main functions of the PI Wing include: Administration and implementation of the Members of Parliament Local Area Development Scheme (MPLADS) Monitoring of projects of Rs.150 crores and above Monitoring of the performance of Infrastructure Sector Monitoring of 20-point programme
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Ministry of Statistics and Programme Implementation (MoSPI) Ministry of Statistics and Programme Implementation (MoSPI) came into existence as an independent Ministry on 15th October 1999 after the merger of the Department of Statistics and the Department of Programme Implementation. The Ministry is the nodal agency for planned and organized development of the statistical system in the country and coordination of statistical activities among different stakeholders in Government of India, State Governments, Union Territories as well as meeting requirements of the International Agencies.   The Allocation of Business to the Ministry of Statistics and Programme Implementation The Ministry has two wings viz. the Statistics Wing and the Programme Implementation (PI) Wing. There is one Autonomous Body known as the Indian Statistical Institute (ISI), which is an institute of national importance by an Act of Parliament, viz. The Indian Statistical Institute Act 1959, which is a renowned and premier institute in the field of Statistics in the country. In addition, there is a National Statistical Commission (NSC), which was created through a Resolution of Government of India with effect from 12th July, 2006 with a mandate to evolve policies, priorities and standards in statistical matters. The organisation chart of the Ministry The Statistics Wing, called National Statistics Office (NSO), coordinates the statistical activities in the country and is responsible for evolving and laying down statistical standards. The activities of NSO inter alia include compilation of National Accounts, Index of Industrial Production, Consumer Price Indices for Urban/Rural/Combined, Human Development Statistics including Gender Statistics and Economic Census and imparting training in Official Statistics. NSO conducts National Sample Survey (NSS) activities through a subordinate office viz. Field Operations Division (FOD). NSO also assists in development of statistics in the States and Union Territories and disseminates Energy Statistics, Social and Environmental Statistics and prepares the National Industrial Classification.  The Programme Implementation (PI) Wing has two Divisions, namely (i) Members of Parliament Local Area Development Scheme (MPLADS) and (ii) Infrastructure and Project Monitoring Division (IPMD). The MPLAD Scheme is a Central Sector Scheme, fully funded by the Government of India, which was announced on 23rd December 1993 by the then Prime Minister of India in the Parliament. Hon’ble Members of Parliament are allocated annual authorization of Rs. 5 crore at the beginning of each financial year subject to certain conditions. The main objective of the Scheme is to enable each Member of Parliament to recommend works of developmental nature with emphasis on the creation of durable community assets based on the locally felt needs of the people. The Infrastructure projects Monitoring Division (IPMD) undertakes the monitoring of projects above Rs. 150 crore.
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Ministry of Statistics and Programme Implementation (MoSPI) ensures that statistical data released in India is comprehensive,
Ministry of Statistics and Programme Implementation (MoSPI) ensures that statistical data released in India is comprehensive, credible, and of the highest quality. Data is drawn from diverse sources—administrative records, censuses, and surveys conducted by Central and State Governments. Every MoSPI survey is built on scientific sampling methods, with information collected by trained field staff and compiled using rigorous statistical techniques. Careful scrutiny and supervision at each stage ensure accuracy and reliability. This methodological rigor makes MoSPI’s statistics a vital resource for shaping India’s development journey. #MoSPI #NSO #DataForDevelopment #SurveyData #DataCollection #GovernmentSurveys #OfficialStatistics https://t.me/statistics_india
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National Statistics Office (NSO), Ministry of Statistics and Programme Implementation (MoSPI) conducts nationwide surveys to support evidence-based policymaking. NSO undertakes large-scale sample surveys on various socio-economic subjects. Please cooperate with NSO enumerators and provide accurate information. Your responses are assured to remain strictly confidential and anonymous in all reports and microdata published by MoSPI. Reports Published By NSO, MoSPI in June 2026. Urban Unincorporated Enterprise Landscape: ASUSE 2025 – Insights from Million Plus Cities https://www.mospi.gov.in/uploads/publications_reports/publications_reports1782806760679_699bfed6-a09c-4ba9-9fa5-2c17d7ff8e60_Full_Report_Million_Plus_City.pdf Labour Market Dynamics in Million-plus Cities https://www.mospi.gov.in/uploads/publications_reports/publications_reports1782803524108_424fcfc9-f57d-4057-b4bd-abd52aae828d_Million_plus_city_F.pdf Bulletin on People Dimension of SDGs https://www.mospi.gov.in/uploads/publications_reports/publications_reports1782719762197_66da5d17-7f9b-412c-b262-3b53e9d9de01_Bulletin_on_People_Dimention_of_SDGs.pdf Sustainable Development Goals – National Indicator Framework, 2026 along with metadata https://www.mospi.gov.in/uploads/publications_reports/publications_reports1782719243840_1f31af3d-72ef-43f0-8038-c029553699f3_SDG_NIF_2026_(along_with_metadata).pdf All India Index of Industrial Production (IIP) base year 2022-23 for May 2026 https://www.mospi.gov.in/uploads/latestReleases/latest_release_1782727994645_1af6a37e-b7fb-4ee8-bf52-96fcea2a47e2_IIP_Press_release_May_2026.pdf A Practitioner’s Handbook on Data Harmonisation https://www.mospi.gov.in/uploads/documents/documents/1782377248562-Data_Harmonisation_Playbook_25Jun.pdf Monthly Flash Report on Infrastructure Projects worth Rs. 150 crore and above - May 2026 https://www.mospi.gov.in/uploads/publications_reports/publications_reports1782388627305_2544b8eb-3ea2-40eb-ab6e-b150c40c4a9e_FlashReport_May_2026.pdf All India Report of the Sixth Economic Census https://www.mospi.gov.in/uploads/publications_reports/publications_reports1781848459200_01bea59b-b344-4842-b5e6-15684bc04af0_EC6_ALL_INDIA_REPORT_PUBLISHED_BY_ESD_CSO.pdf Periodic Labour Force Survey (PLFS) Monthly Bulletin May 2026 https://www.mospi.gov.in/uploads/publications_reports/publications_reports1781518752261_5d38323b-1931-4e2b-803e-34684fb7643d_MB_May_2026-1-1.pdf All – India Consumer Price Index (CPI) for the month of May 2026 https://www.mospi.gov.in/uploads/latestReleases/latest_release_1781259853555_04875571-19f2-4830-9cad-3a1bfd5992e1_Press_Release_of_CPI_for_May_2026.pdf Annual Report 2025-26 https://www.mospi.gov.in/uploads/publications_reports/publications_reports1780639521826_07b8c57c-dff9-4c75-a7fb-d28c10dd1c75_MoSPI_Annual_Report_English_2025-26.pdf Press Note on Provisional Estimates of Annual GDP FY 2025-26 and Quarterly Estimates of GDP for Q4 of FY 2025-26 https://www.mospi.gov.in/uploads/latestReleases/latest_release_1780655857536_5ac01869-ca4a-422d-b7a7-57b81da60932_Press_Note_on_GDP_Estimates_for_Q4_2025-26_and_PE_FY_2025-26_F.pdf Uniform Guideline for Compilation of District Domestic Product (DDP) Estimates with Base Year 2022-23 https://www.mospi.gov.in/uploads/documents/documents/1780482526678-Guideline_for_compilation_of_DDP_estimates.pdf First Press Release of All India Index of Industrial Production of New Series With Base Year 2022-23 https://www.mospi.gov.in/uploads/latestReleases/latest_release_1780371708887_52b83604-666c-443a-82c6-4411103e2ede_Press_Release_IIP_2022-23f.pdf Visit MoSPI’s official website for related updates and official information: http://mospi.gov.in #MoSPI #NSO #DataForDevelopment #SurveyData #DataCollection #NSS75Years #Statistics #StatisticalData #IndianEconomy #Economy PMO India Rao Inderjit Singh Press Information Bureau - PIB, Government of India NITI Aayog MyGovIndia
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Explore India’s Latest Statistical Snapshot – June 2026 NSO, MoSPI estimates and releases key economic parameters like GDP, I
Explore India’s Latest Statistical Snapshot – June 2026 NSO, MoSPI estimates and releases key economic parameters like GDP, Inflation rate, IIP etc. following advanced release calendar. It regularly conducts nation-wide sample surveys and release reports on various important parameters. #NSO #MoSPI #IndiaStatistics #EconomicGrowth #Employment #GDP #Inflation #IndustrialProduction #HealthInsurance #DataForDevelopment #StatisticalSnapshot #GovernmentOfIndia 💻https://youtube.com/@statistics_india/ 📜https://wa.me/channel/0029Vadop5ZBfxoF9Lq8h015 🎟️https://www.instagram.com/statistics_india 📧https://t.me/statistics_india_chat ⏺️https://www.fb.com/statistics_india 🌐https://www.threads.net/@statistics_iનડિયા 🇮🇳
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Some Useful Statistics Reference Books 🗝Statistics_india🔋 💻https://youtube.com/@statistics_india/ 📜https://wa.me/channel/0029Vadop5ZBfxoF9Lq8h015 🎟https://www.instagram.com/statistics_india 📧https://t.me/statistics_india_chat ⏺️https://www.fb.com/statistics_india 🌐https://www.threads.net/@statistics_india
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AS Per RO Syllabus Some Importance Topics pdf .. If it Useful you in Clear a concept s of Exams than Share with your various Groups https://t.me/statistics_india https://you.tube/statistics_india
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Probability PYQ.pdf
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Test 1 Probability solution.pdf
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IIT JAM Mathematical Statistics PYQ (2026-22016).pdf
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📊 Statistics – Important Short Questions & Answers 📚 Follow, Like & Share "statistics_india" for More Statistics Notes and
📊 Statistics – Important Short Questions & Answers 📚 Follow, Like & Share "statistics_india" for More Statistics Notes and Exam Preparation Material! #Statistics #StatisticsNotes #StatisticsShortQuestions #DataAnalysis #Probability #Mathematics #Mean #Median #Mode #Variance #StandardDeviation #Skewness #Kurtosis #Correlation #Regression #HypothesisTesting #ZTest #TTest #ChiSquare #ANOVA #TimeSeries #IndexNumbers #SPSS #Minitab #ResearchMethods #StatisticsEducation #StatisticsStudents #LearnStatistics #ExamPreparation 💻https://youtube.com/@statistics_india/ 📜https://wa.me/channel/0029Vadop5ZBfxoF9Lq8h015 🎟️https://www.instagram.com/statistics_india 📧https://t.me/statistics_india_chat ⏺️https://www.fb.com/statistics_india 🌐https://www.threads.net/@statistics_i
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100 ISS QnA for practice.pdf
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Emailing probability Tables.pdf
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Emailing Fundamentals of Statistics volume-2 das gun.pdf
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Emailing B. L.Agarwal Programmed Statistics Questions and Answers.pdf
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World Passport Index🏁 2026 India 🇮🇳- 125th (Score- 45.1🔼) 2025 - 124 2021- 121 Total Country -197 (2026) With indian 🇮🇳
World Passport Index🏁 2026 India 🇮🇳- 125th (Score- 45.1🔼) 2025 - 124 2021- 121 Total Country -197 (2026) With indian 🇮🇳 Passport worldwide 26 country visit of without Visa (free of Visa) For like More Information https://t.me/statistics_India
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