Introduction to Probability & Statistics
A 10-part course with Mark Huber
Start Free Preview Start CourseCourse Overview
Teacher
I'm in the Mathematical Sciences department at Claremont McKenna College. My primary research area is in computational probability, and have taught a variety of college and graduate level mathematical courses. View ProfileDetails
- Total Time 2 hr, 3 min
- Lessons 10
- Exercises 44
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67 CQ
10 Lessons in This Course
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13 minStatistics lesson 17 CQ
In this lesson, discover the building blocks of probability, including random variables, set notation, and two important rules for calculating probabilities.
with Mark HuberIn this lesson, discover the building blocks of probability, including random variables, set notation, and two important rules for calculating probabilities.
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12 minStatistics lesson 27 CQ
There are two main types of random variables: discrete and continuous. In this lesson on foundational concepts in statistics and probability, see how they work!
with Mark HuberThere are two main types of random variables: discrete and continuous. In this lesson on foundational concepts in statistics and probability, see how they work!
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11 minStatistics lesson 36 CQ
Discover the Strong Law of Large Numbers, discrete random variables, and learn how to calculate variance in this lesson on statistics and probability.
with Mark HuberDiscover the Strong Law of Large Numbers, discrete random variables, and learn how to calculate variance in this lesson on statistics and probability.
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14 minStatistics lesson 48 CQ
Conditional probabilities add extra information to random variables. They're calculated using the conditional probability formula and Bayes' Rule, covered here.
with Mark HuberConditional probabilities add extra information to random variables. They're calculated using the conditional probability formula and Bayes' Rule, covered here.
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11 minStatistics lesson 56 CQ
The Central Limit Theorem says that the sum of random variables tends to look like a normal distribution. Use this to approximate probabilities in this lesson!
with Mark HuberThe Central Limit Theorem says that the sum of random variables tends to look like a normal distribution. Use this to approximate probabilities in this lesson!
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10 minStatistics lesson 66 CQ
Statistics is the science of analyzing data, and in this lesson, you'll learn the basics! Discuss statistical modeling and parameterizing models, too.
with Mark HuberStatistics is the science of analyzing data, and in this lesson, you'll learn the basics! Discuss statistical modeling and parameterizing models, too.
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13 minStatistics lesson 77 CQ
This statistics lesson covers the two most important point estimators: the sample average for the mean, and the population variance for the variance.
with Mark HuberThis statistics lesson covers the two most important point estimators: the sample average for the mean, and the population variance for the variance.
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14 minStatistics lesson 88 CQ
This lesson covers the idea of the p-value, which is a numerical way of characterizing the evidence against a particular hypothesis with a test statistic.
with Mark HuberThis lesson covers the idea of the p-value, which is a numerical way of characterizing the evidence against a particular hypothesis with a test statistic.
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8 minStatistics lesson 95 CQ
Confidence intervals contain all numbers between a and b, and can be calculated with the Central Limit Theorem, which is covered in this statistics lesson!
with Mark HuberConfidence intervals contain all numbers between a and b, and can be calculated with the Central Limit Theorem, which is covered in this statistics lesson!
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13 minStatistics lesson 107 CQ
Bayesian statistics treats the parameters as if they are random variables. In this stats lesson, use Bayes' Rule to update the distribution of the parameters.
with Mark HuberBayesian statistics treats the parameters as if they are random variables. In this stats lesson, use Bayes' Rule to update the distribution of the parameters.
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10109 min10-part Math course59 CQ
Get ready for college-level pre-calculus! Mark Huber, associate math professor at Claremont McKenna College, covers algebra and trigonometry concepts that are integral to the study of pre-calculus.
with Mark HuberGet ready for college-level pre-calculus! Mark Huber, associate math professor at Claremont McKenna College, covers algebra and trigonometry concepts that are integral to the study of pre-calculus.
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10110 min10-part Calculus course59 CQ
Do you need a little help preparing for the AP Calculus AB exam? Look no further. This course covers the basic ideas of calculus, including: functions, limits, derivatives, and integration.
with Mark HuberDo you need a little help preparing for the AP Calculus AB exam? Look no further. This course covers the basic ideas of calculus, including: functions, limits, derivatives, and integration.
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9 minCalculus lesson5 CQ
You know how to use the calculus chain rule to find the derivative of f(g(x)). Now, learn to work backwards and find the antiderivative, or indefinite integral!
with Mark HuberYou know how to use the calculus chain rule to find the derivative of f(g(x)). Now, learn to work backwards and find the antiderivative, or indefinite integral!
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5 minAlgebra lesson3 CQ
The chain rule solves simple integrals, but more complex antiderivatives require more powerful tools. Up your calculus skills with integration by parts!
with Mark HuberThe chain rule solves simple integrals, but more complex antiderivatives require more powerful tools. Up your calculus skills with integration by parts!
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2 minFREEAlgebra lessonFree2 CQ
That exponential growth problem may look difficult, but don't worry—you have calculus on your side! Learn how to solve exponential population growth problems.
with Mark HuberThat exponential growth problem may look difficult, but don't worry—you have calculus on your side! Learn how to solve exponential population growth problems.
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10129 min10-part Math course70 CQ
Statistics may sound like a dry topic, but developing data analysis skills will unlock fascinating worlds! In this 10-lesson course from statistics teacher Zac Rappell, start by understanding group data and central tendencies (mean, median, and mode), then explore measures of spread (range, IQR, and standard deviation). Learn how to create stem and leaf and box and whisker plots, and practice comparing data sets to identify new relationships. Finish with a fun final project analyzing the Oscars!
with Zachary RappellStatistics may sound like a dry topic, but developing data analysis skills will unlock fascinating worlds! In this 10-lesson course from statistics teacher Zac Rappell, start by understanding group data and central tendencies (mean, median, and mode), then explore measures of spread (range, IQR, and standard deviation). Learn how to create stem and leaf and box and whisker plots, and practice comparing data sets to identify new relationships. Finish with a fun final project analyzing the Oscars!
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856 min8-part Statistics course33 CQ
Mike Marin explains R programming languages basics, and shows you how to install the integrated development environment (IDE), perform arithmetic operations, and import data from Excel.
with MarinStatsLecturesMike Marin explains R programming languages basics, and shows you how to install the integrated development environment (IDE), perform arithmetic operations, and import data from Excel.
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10101 min10-part Software Development course55 CQ
Building a video game is a wonderful learning experience that uses many different skills. Learn learn how to build a game using Scratch, a free game design software from M.I.T.
with Richard PothBuilding a video game is a wonderful learning experience that uses many different skills. Learn learn how to build a game using Scratch, a free game design software from M.I.T.
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10123 min10-part Statistics course67 CQ
What is probability and how are statistics principles applied to modeling information? In this intro course cover the basics of a discipline applied to everything from consumer trends to global trade.
with Mark HuberWhat is probability and how are statistics principles applied to modeling information? In this intro course cover the basics of a discipline applied to everything from consumer trends to global trade.
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36266 minFREE36-part Statistics courseFree151 CQ
William Spaniel, author of "Game Theory 101: The Complete Textbook," explains concepts in the study of strategic decision making. Learn to apply math and logic to determine the best possible outcome.
with William SpanielWilliam Spaniel, author of "Game Theory 101: The Complete Textbook," explains concepts in the study of strategic decision making. Learn to apply math and logic to determine the best possible outcome.