Statistical Inference Solutions: Estimation and Hypothesis Testing
Q1 True/False (each needs a quick justification)
Q1(a) Binomial(100, 0.2) approximated by Normal N(20,16)
Steps:
Identify: X ~ Bin(n=100, p=0.2).
Compute mean: μ = np = 100(0.2) = 20.
Compute variance: σ² = np(1−p) = 100(0.2)(0.8) = 16.
Rule: For large n, Binomial ≈ Normal with same mean/variance (CLT-ish approximation).
Conclusion: Yes, approximate with N(20,16).
Q1(b) MAP estimator equals argmax log posterior
Steps:
MAP definition: θ̂MAP = argmaxθ f(θ|x).
Taking log does not move the maximizer
Managerial and Financial Accounting Concepts Explained
1. Managerial Versus Financial Accounting Differences
Financial accounting is concerned with reporting financial information to external parties, such as stockholders, creditors, and regulators. Managerial accounting is concerned with providing information to managers for use within the organization.
- Financial accounting emphasizes the financial consequences of past transactions, objectivity and verifiability, precision, and companywide performance.
- Managerial accounting emphasizes decisions affecting
Earth Science Fundamentals: Biomes, Atmosphere, and Cycles
Earth’s Geography and Sustainability
There are seven continents: Africa, Antarctica, Asia, Europe, North America, South America, and Australia.
There are five major oceans: Pacific Ocean, Atlantic Ocean, Indian Ocean, Southern Ocean, and Arctic Ocean.
Economic Classifications (Income Levels)
- Low-Income Economies (LICs): Less than $1,036 GNI per capita.
- Middle-Income Economies (MICs): $1,036 to $12,535 GNI per capita.
- High-Income Economies (HICs): Greater than $12,535 GNI per capita.
Sustainability refers
Read MoreHuman Reproduction: Stages and Systems
Human Reproduction Characteristics
Human reproduction is sexual and has two main characteristics:
- The new individual is formed from a single cell, called a zygote.
- A zygote originates from the union (fertilization) of two gametes or sex cells.
Humans have two kinds of gametes: sperm and ova. Men produce sperm, and women produce ova.
Puberty
Puberty begins in men with the first ejaculation (spermarche) and in women when the first menstruation takes place (menarche). This process is regulated by Follicle
Read MoreTomas Dell Osso: Information Systems Engineering Aspirations
Tomas Dell Osso Profile
Hello!
Chevening Scholarship Motivation
I chose the Chevening Scholarship because it offers the chance to study in the UK for free. It covers tuition, living costs, and flights.
Personal Details
- Full Name: Tomas Dell Osso
- Date of Birth: May 10, 2005
- Origin: Rosario, Alberdi neighborhood
Academic and Career Path
Current Studies
I am studying Information System Engineering at UTN Rosario. I chose this university because of its excellent academic reputation.
Future Goals
In the future,
Read MoreKey Concepts in Modern Political Philosophy: Kant, Rousseau, Mill, and Hegel
Kant’s Views on Modernity
Immanuel Kant occupies a central position in the intellectual history of modernity. His political and philosophical project can be understood as an attempt to define the essence of the “modern” age as one grounded in autonomy, rationality, and moral self-legislation. For Kant, modernity is not merely a chronological period but an attitude—a transformation in human consciousness wherein individuals learn to think for themselves, free from the tutelage of traditional
.NET Framework 4.5 Architecture and Core Concepts
Q1. What is .NET Framework? Explain .NET Framework 4.5 in Detail
The .NET Framework is a comprehensive and consistent programming model developed by Microsoft for building applications that feature visually stunning user experiences, seamless and secure communication, and the ability to model a range of business processes. It provides a controlled environment for developing and running applications for Windows.
Definition
The .NET Framework is a software development platform consisting of a runtime
Read MoreMaximizing Efficiency in Energy Transformation Processes
The Fundamentals of Energy Conversion Processes
Energy conversion processes consist of transforming the energy available in fuels or natural sources into useful forms such as electricity, heat, or mechanical power. All power plants—whether steam, gas, nuclear, or renewable—base their operation on energy transfers between different stages. Each of these transformations is limited by thermodynamic laws that determine the maximum achievable efficiency.
Classical Thermal Power Generation Systems
In
Read MoreNoSQL Document and Column Databases: Performance and Use Cases
NoSQL Document and Column Databases: Key Differences
NoSQL databases are broadly categorized into different types, with document-based and column-based models among the most widely used. Document-based databases, such as MongoDB, store data in flexible, self-describing documents—typically in JSON or BSON format—allowing complex, nested structures and varying fields for different records within the same collection. This flexibility supports agile development and easy mapping to application objects,
Read MoreStructuring Written English Texts: Articles, Reports, and Essays
Writing Structure Frameworks
Article Structure
1. Title: Rhetorical Question
Use rhetorical questions (e.g., “Have you ever wondered…?”, “Did you know that…?”).
2. Introduction
Provide general information and use rhetorical questions.
3. Body
Use transition phrases such as: “One thing to consider is…”, “Another point is…”, “Regarding…” (or Respecto a).
4. Conclusion
Summarize and offer an opinion using phrases like: “If I were you, I would…”, “It would be a good idea to…”