Path 3 Final Knowledge Check: Probability & Distributions

Congratulations! You have completed the hardest conceptual leap in statistics.

You have transitioned from describing the past to predicting the future. You now understand how basic probability works, how the universe naturally distributes data into Bell Curves, how to compare completely different datasets using Z-Scores, and how the Central Limit Theorem turns chaos into order.

Before we move into actual Hypothesis Testing, take this quick self-check to make sure these core predictive concepts are locked in.

Click on your answers below to see how you did!

1. There is a 20% chance of rain today, and a completely independent 10% chance of a server outage at your company. What is the probability that BOTH happen today?


2. A website offers a mystery box. There is a 90% chance it contains an item worth ₹0, and a 10% chance it contains an item worth ₹1000. What is the Expected Value of one box?


3. A population of IQ scores is normally distributed with a mean of 100 and a standard deviation of 15. According to the Empirical Rule, what percentage of people score between 85 and 115?


4. Why do data scientists convert raw data into Z-Scores?


5. According to the Central Limit Theorem, what happens if you pull repeated, sufficiently large samples (n ≥ 30) from a highly skewed, messy dataset and plot their averages?

🎓 Module Complete

You have fully completed Path 3. You are ready to start testing hypotheses and proving your theories with real data.

Start Next Module →
Path 4: Hypothesis Testing & Inference