Block 92: Distributions in Practice
Recognize and simulate common probability distributions.
Concepts
- Normal, uniform, exponential, Bernoulli distributions
- Generating samples with scipy.stats
- Comparing histograms to theoretical PDFs
- Central Limit Theorem: means of samples approach normal
Code Examples
See exercise below.
Exercise
Simulate samples from 3 distributions. Plot histogram vs theoretical PDF for each. Demonstrate CLT: take means of n=5, 30, 100 samples from a uniform distribution. Show the distribution of means becomes normal.
Homework
Explain the Central Limit Theorem in plain language. Why does it matter for data science? Tuesday