A1) Mutually Exclusive vs Independent Events https://www.youtube.com/watch?v=HsoUlVK9-Qc A2) Conditional Probability Formula for Independent Events https://www.youtube.com/watch?v=J4gmSAyW5SE A3) Law of Large Numbers (LLN) https://www.youtube.com/watch?v=kO5akZv_Xjo A4) If you test positive for cancer, what is the probability that you in fact has cancer? https://www.youtube.com/watch?v=e_YP7qnPnkY A5) Are Disjoint Events Independent? https://www.youtube.com/watch?v=i06tPmhI0ZI B1) What is a Random Variable? https://www.youtube.com/watch?v=EKiQp0pZhe0 B2) Expected Value of a Random Variable https://www.youtube.com/watch?v=CayW8pIzNfY B3) Random Variable: Variance and Standard Deviation https://www.youtube.com/watch?v=GFEYcFaZjBI B4) Prove that E(cX) = cE(X) https://www.youtube.com/watch?v=Cnhy5MkfvSA B5) Prove that Var(cX)=ccVar(X) https://www.youtube.com/watch?v=DReXYW6nnOE B6) Var(X)=E(X^2)-[E(X)]^2 https://www.youtube.com/watch?v=_vv5EwvOQXk B7) Bernoulli Random Variable https://www.youtube.com/watch?v=SpuFk3wP6ks C1) Random Variables: Mean and Standard Deviation https://www.youtube.com/watch?v=zBPfoBlEOiw C2) Covariance vs Variance https://www.youtube.com/watch?v=8xU20W92Bjk C3) Correlation vs Covariance https://www.youtube.com/watch?v=XKAvW5ZTa3k C4) Cov(X,Y)=E(XY)-E(X)E(Y) https://www.youtube.com/watch?v=tDl-Xor6tg8 C5) If X and Y are independent, then Cov(X,Y)=0 https://www.youtube.com/watch?v=6LAhmbthx6A C6) Var(X+Y)=Var(X)+Var(Y)+2Cov(X,Y) https://www.youtube.com/watch?v=yjsDDLMY1vc D1) Standard Normal Distribution https://www.youtube.com/watch?v=pwVd-GAlOxA D2) What is z-score? https://www.youtube.com/watch?v=3cGOfOWUvD0 D3) What means independent and identically distributed (iid)? https://www.youtube.com/watch?v=WGaVW_tAJcU D4) Central Limit Theorem (CLT) https://www.youtube.com/watch?v=inHQui8F3Lw E1) Population Parameter vs Sample Statistic https://www.youtube.com/watch?v=iuICaoIR5mo E2) Standard Error of the Mean https://www.youtube.com/watch?v=Vr7jqQBOxiI E3) Random Sample https://www.youtube.com/watch?v=Rrl9ph8wH0U E4) Unbiased Estimator https://www.youtube.com/watch?v=OoXAYvtLZSg F1) 95% Confidence Interval for Proportion (p) https://www.youtube.com/watch?v=z8ost0MDIck F2) Normal vs Student’s t-distribution https://www.youtube.com/watch?v=KS9J337N6gk F3) Confidence Interval for a Population Mean https://www.youtube.com/watch?v=3v2dHR59-q4 F4) Margin of Error https://www.youtube.com/watch?v=Yxi2hxn2Ue8 G1) Null vs Alternative Hypothesis https://www.youtube.com/watch?v=v4IO5XkH9QI G2) Type I vs Type II Errors https://www.youtube.com/watch?v=Xbnrh8E8mXc G3) Z-test for a Proportion https://www.youtube.com/watch?v=pNHQI8TkqOo G4) T-test for the Mean https://www.youtube.com/watch?v=NRUmTfnYxqg H1) Randomized Experiment https://www.youtube.com/watch?v=1z0Z_ESvNhM H2) Two-Sample t-Test in Python https://www.youtube.com/watch?v=VDxJMa3aCE0 H3) Two-Sample z-Test in Python https://www.youtube.com/watch?v=q9cFhQROEQw