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Challenge | Probabilities of Several Events
Probability Theory
course content

Course Content

Probability Theory

Challenge

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).

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).

Everything was clear?

Section 2. Chapter 8
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Challenge

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).

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).

Everything was clear?

Section 2. Chapter 8
toggle bottom row

Challenge

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).

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).

Everything was clear?

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).

Section 2. Chapter 8
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