Probability density functions

Statistical Thinking in Python (Part 1)

Justin Bois

Teaching Professor at the California Institute of Technology

Continuous variables

  • Quantities that can take any value, not just discrete values
Statistical Thinking in Python (Part 1)

Michelson's speed of light experiment

ch4-1.004.png

Statistical Thinking in Python (Part 1)

Michelson's speed of light experiment

ch4-1.005.png

Statistical Thinking in Python (Part 1)

Probability density function (PDF)

  • Continuous analog to the PMF
  • Mathematical description of the relative likelihood of observing a value of a continuous variable
Statistical Thinking in Python (Part 1)

Normal PDF

ch4-1.011.png

Statistical Thinking in Python (Part 1)

Normal PDF

ch4-1.012.png

Statistical Thinking in Python (Part 1)

Normal CDF

ch4-1.013.png

Statistical Thinking in Python (Part 1)

Normal CDF

ch4-1.014.png

Statistical Thinking in Python (Part 1)

Let's practice!

Statistical Thinking in Python (Part 1)

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