what course probability and mathematical statistics

by Dr. Omer Pfeffer Jr. 10 min read

Probability and Statistics includes the classical treatment of probability as it is in the earlier versions of the OLI Statistics course, while Statistical Reasoning gives a more abbreviated treatment of probability, using it primarily to set up the inference unit that follows it. Throughout the course there are many interactive elements.

Full Answer

What can you do with probability and statistics?

probability and statistics, the branches of mathematics concerned with the laws governing random events, including the collection, analysis, interpretation, and display of numerical data.Probability has its origin in the study of gambling and insurance in the 17th century, and it is now an indispensable tool of both social and natural sciences.

Should I take probability and statistics?

  • Programming in Python (basics), while implementing things about what you learn below.
  • Linear algebra
  • Calculus (can be done at the same time as 2. I recommend this. ...
  • Computer science basics (can be mixed with 1, 2, & 3)
  • Probability
  • Statistics (some mixing with 5 is OK, but understanding the probability is usually best done before you start a

Why teach statistics and probability?

  • Tables
  • Graphs
  • Manipulatives

How to explain college statistics courses for beginners?

Statistics is the study of numerical information, called data. Statisticians acquire, organize, and analyze data. Each part of this process is also scrutinized. The techniques of statistics are applied to a multitude of other areas of knowledge. Below is an introduction to some of the main topics throughout statistics. Featured Video.

What is probability and statistics course?

Probability & Statistics introduces students to the basic concepts and logic of statistical reasoning and gives the students introductory-level practical ability to choose, generate, and properly interpret appropriate descriptive and inferential methods.

What is mathematics probability and statistics?

probability and statistics, the branches of mathematics concerned with the laws governing random events, including the collection, analysis, interpretation, and display of numerical data.

Is probability and statistics a math class?

Probability And Statistics are the two important concepts in Maths.

Is probability and statistics a hard course?

It may be difficult at first, but it is just like learning a new language; once the basics are understood and practiced, it becomes much easier and almost second nature over time. Statistics does not deserve the bad reputation that it has been given because at its core, it is not a very difficult class.

Why do we need to study probability and statistics?

Statistical knowledge helps you use the proper methods to collect the data, employ the correct analyses, and effectively present the results. Statistics is a crucial process behind how we make discoveries in science, make decisions based on data, and make predictions.

Why is it important for students to study statistics and probability?

An introduction to probability and statistics gives high schoolers the ability to judge whether the conclusions drawn from data are accurate. A successful high school statistics curriculum will help students become informed, critical users of data who can apply them meaningfully in their everyday lives.

Is probability and statistics hard in high school?

Statistics is often seen as a challenging subject that combines complex math and deliberate critical thinking, leading many to believe that it is hard. Statistics is not hard. Statistics is simply the usage of math and calculations to obtain information from data.

What is probability and statistics in high school?

High School Statistics & Probability explores the collection and analysis of data, inferences and conclusions, and the use of probability. Students can examine how statistics can be used to determine causation in a case study that focuses on smoking and lung cancer.

Is probability and statistics harder than calculus?

Statistics does tend to be harder than calculus, especially at the advanced levels. If you take a beginning statistics course, there will be very simple concepts that are rather easy to work out and solve.

Is statistics a good degree?

Statistics is a very good major in terms of job market and salary scale, it also open doors for many graduate courses, unless you are poor at math ,statistics is worth taking.

Are statisticians happy?

Statisticians are about average in terms of happiness. At CareerExplorer, we conduct an ongoing survey with millions of people and ask them how satisfied they are with their careers. As it turns out, statisticians rate their career happiness 3.2 out of 5 stars which puts them in the bottom 45% of careers.

Why is probability and statistics so hard?

This is in part because it requires a combination of maths and real world thinking. In statistics we use the explicit tallying of data and mathematical reasoning about probabilities to let is do quite complex reasoning from effects (measurements) back to causes (the real word phenomena that are being measured).

What is probability and statistics?

Probability is the study of the likelihood an event will happen, and statistics is the analysis of large datasets, usually with the goal of either...

What skills do I need to become a statistician?

As a branch of mathematics, statistics requires high-level numeracy and quantitative skills as a foundation. However, that’s only the beginning. Be...

What jobs are available in the field of statistics and probability?

Working in statistics and probability isn’t just about becoming a statistician or theoretical mathematician (although it can be). Like data science...

What probability and statistics courses are available online?

Like many other branches of math, computer science, and data science, there are more opportunities than ever to learn probability and statistics on...

What skills or experience do I need to already have, before starting to learn probability and statis...

Some skills and experience you might want to have before learning probability and statistics include basic computation skills and experience using...

What kind of people are best suited for roles in probability and statistics?

The kind of people best suited for roles in probability and statistics tend to be logical thinkers with strong problem-solving skills. They typical...

What topics can I study that are related to probability and statistics?

Some topics related to probability and statistics include data mining and data analysis, which involve looking for trends in different data sets. S...

What types of places hire people with a background in probability and statistics?

Places that hire people with backgrounds in probability and statistics range are found in a variety of industries, such as health care, marketing,...

What is the purpose of statistics and probability?

Probability and statistics courses teach skills in understanding whether data is meaningful, including optimization, inference, testing, and other methods for analyzing patterns in data and using them to predict, understand, and improve results.

What is the difference between probability and statistics?

What is probability and statistics? Probabil ity is the study of the likelihood an event will happen, and statistics is the analysis of large datasets, usually with the goal of either usefully describing this data or inferring conclusions about a larger dataset based on a representative sample.

Why are statistics and probability important?

If you’re interested in going into the business world, statistics and probability are essential for business analysts, market research analysts, risk analysts, and economists to understand global markets and identify likely business opportunities.

What skills do you need to know to learn probability?

Some skills and experience you might want to have before learning probability and statistics include basic computation skills and experience using a calculator. The ability to place points on a graph, calculate slope and intercept, and read information presented on different graphs can also be beneficial.

What is statistical expertise?

Statistical expertise is also a core skill for understanding risk, and is central to the work of public health researchers, environmental scientists, criminologists, meteorologists, pharmaceutical engineers, and countless other roles that seek to protect clients or the general public.

What are the skills required for data science?

Statistics and probability are essential tools for data science. These skills enable you to determine whether your data collection methods are sound, derive relevant insights from massive datasets, build analytic models that produce usable results, and much more.

What is MIT OpenCourseWare?

MIT OpenCourseWare is a free & open publication of material from thousands of MIT courses, covering the entire MIT curriculum. No enrollment or registration. Freely browse and use OCW materials at your own pace. There's no signup, and no start or end dates.

Does MIT have a team?

MIT has a culture of teamwork so we encourage you to work with study partners. Collaboration on homework is encouraged, but you must write your solutions yourself, in your own words. You must also list all collaborators and outside sources of information.

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Course Meeting Times

Course Arc

  1. Probability: (uncertain world, perfect knowledge of the uncertainty)
  2. Statistics I: pure applied probability (data in an uncertain world, perfect knowledge of the uncertainty)
  3. Statistics II: applied probability (data in an uncertain world, imperfect knowledge of the uncertainty)
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Broad Course Objectives

  1. Learn the language and core concepts of probability theory.
  2. Understand basic principles of statistical inference (both Bayesian and frequentist).
  3. Build a starter statistical toolbox with appreciation for both the utility and limitations of these techniques.
  4. Use software and simulation to do statistics (R).
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Specific Learning Objectives

  • Probability
    Students completing the course will be able to: 1. Use basic counting techniques (multiplication rule, combinations, permutations) to compute probability and odds. 2. Use R to run basic simulations of probabilistic scenarios. 3. Compute conditional probabilities directly and using B…
  • Statistics
    Students completing the course will be able to: 1. Create and interpret scatter plots and histograms. 2. Understand the difference between probability and likelihood functions, and find the maximum likelihood estimate for a model parameter. 3. Do Bayesian updating with discrete …
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Basic Course Structure

  • Before Class
    You must do the reading and answer reading questions before each class, as lectures will be given under the assumption that you have completed the reading. We do notexpect that you will have mastered the material on first reading. The goal is to start the process, so class will be mor…
  • Class Sessions
    Class sessions will be a blend of lecture, concept questions and group problem solving. In-class group work will be done in groups of three of your choosing. will use groups of 3. We will use “clicker questions” in class.
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Collaboration

  • MIT has a culture of teamwork so we encourage you to work with study partners. Collaboration on homework is encouraged, but you must write your solutions yourself, in your own words. You must also list all collaborators and outside sources of information.
See more on ocw.mit.edu