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Probability Theory
course content

Course Content

Probability Theory

Probability Theory

1. Learn Basic Rules
Random VariableBernoulli Trial 1/2Bernoulli Trial 2/2Binomial Probability 1/2Binomial probability 2/2
2. Probabilities of Several Events
Add ProbabilitiesCalculate Connected ProbabilitiesChallengeMultiply probabilitiesDependent probabilitiesLaw of Total ProbabilityBayes Theorem Challenge
3. Conducting Fascinating Experiments
The First ExperimentThe Second ExperimentThe Third ExperimentCombine Your Knowledge
4. Discrete Distributions
Discrete Uniform DistributionCalculate Fascinating ProbabilityBernoulli DistributionBinomial DistributionChallengePoisson DistributionChallenge
5. Normal Distribution
Normal DistributionChallenge 1Сhallenge 2

bookChallenge

Bayes Theorem is crucial for a data scientist, so try to consolidate knowledge!

Task

Imagine that we decided to conduct medical research. You gathered data about two groups of people: 750 people with heart problems and 800 people with chronic stomachache. You know that 7% of interviewed from the first group have diabetes; meanwhile, 12% of respondents from the second group have diabetes too. Calculate the probability that a randomly selected person with diabetes has a chronic stomachache.

  1. Calculate the probability that a randomly selected person has a heart problem.
  2. Calculate the probability that the randomly selected person has a stomachache.
  3. Calculate the probability that you randomly select a person that has diabetes.
  4. Calculate the probability that a randomly selected person with diabetes has a chronic stomachache (already done).

Switch to desktopSwitch to desktop for real-world practiceContinue from where you are using one of the options below
Everything was clear?

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Section 2. Chapter 8
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bookChallenge

Bayes Theorem is crucial for a data scientist, so try to consolidate knowledge!

Task

Imagine that we decided to conduct medical research. You gathered data about two groups of people: 750 people with heart problems and 800 people with chronic stomachache. You know that 7% of interviewed from the first group have diabetes; meanwhile, 12% of respondents from the second group have diabetes too. Calculate the probability that a randomly selected person with diabetes has a chronic stomachache.

  1. Calculate the probability that a randomly selected person has a heart problem.
  2. Calculate the probability that the randomly selected person has a stomachache.
  3. Calculate the probability that you randomly select a person that has diabetes.
  4. Calculate the probability that a randomly selected person with diabetes has a chronic stomachache (already done).

Switch to desktopSwitch to desktop for real-world practiceContinue from where you are using one of the options below
Everything was clear?

How can we improve it?

Thanks for your feedback!

Section 2. Chapter 8
toggle bottom row

bookChallenge

Bayes Theorem is crucial for a data scientist, so try to consolidate knowledge!

Task

Imagine that we decided to conduct medical research. You gathered data about two groups of people: 750 people with heart problems and 800 people with chronic stomachache. You know that 7% of interviewed from the first group have diabetes; meanwhile, 12% of respondents from the second group have diabetes too. Calculate the probability that a randomly selected person with diabetes has a chronic stomachache.

  1. Calculate the probability that a randomly selected person has a heart problem.
  2. Calculate the probability that the randomly selected person has a stomachache.
  3. Calculate the probability that you randomly select a person that has diabetes.
  4. Calculate the probability that a randomly selected person with diabetes has a chronic stomachache (already done).

Switch to desktopSwitch to desktop for real-world practiceContinue from where you are using one of the options below
Everything was clear?

How can we improve it?

Thanks for your feedback!

Bayes Theorem is crucial for a data scientist, so try to consolidate knowledge!

Task

Imagine that we decided to conduct medical research. You gathered data about two groups of people: 750 people with heart problems and 800 people with chronic stomachache. You know that 7% of interviewed from the first group have diabetes; meanwhile, 12% of respondents from the second group have diabetes too. Calculate the probability that a randomly selected person with diabetes has a chronic stomachache.

  1. Calculate the probability that a randomly selected person has a heart problem.
  2. Calculate the probability that the randomly selected person has a stomachache.
  3. Calculate the probability that you randomly select a person that has diabetes.
  4. Calculate the probability that a randomly selected person with diabetes has a chronic stomachache (already done).

Switch to desktopSwitch to desktop for real-world practiceContinue from where you are using one of the options below
Section 2. Chapter 8
Switch to desktopSwitch to desktop for real-world practiceContinue from where you are using one of the options below
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