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10.5 - Expected Value and Variance of Two Random Variables
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A1) Mutually Exclusive vs Independent Events
A2) Conditional Probability Formula for Independent Events
A3) Law of Large Numbers (LLN)
A4) If you test positive for cancer, what is the probability that you in fact has cancer?
A5) Are Disjoint Events Independent?
B1) What is a Random Variable?
B2) Expected Value of a Random Variable
B3) Random Variable: Variance and Standard Deviation
B4) Prove that E(cX) = cE(X)
B5) Prove that Var(cX)=ccVar(X)
B6) Var(X)=E(X^2)-[E(X)]^2
B7) Bernoulli Random Variable
C1) Random Variables: Mean and Standard Deviation
C2) Covariance vs Variance
C3) Correlation vs Covariance
D1) Standard Normal Distribution
D2) What is z-score?
D3) What means independent and identically distributed (iid)?
E1) Population Parameter vs Sample Statistic
E2) Standard Error of the Mean
F1) 95% Confidence Interval for Proportion (p)
F2) Normal vs Student’s t-distribution
G1) Null vs Alternative Hypothesis
G2) Type I vs Type II Errors
H1) Randomized Experiment
H2) Two-Sample t-Test in Python
A2) Conditional Probability Formula for Independent Events
A3) Law of Large Numbers (LLN)
A4) If you test positive for cancer, what is the probability that you in fact has cancer?
A5) Are Disjoint Events Independent?
B1) What is a Random Variable?
B2) Expected Value of a Random Variable
B3) Random Variable: Variance and Standard Deviation
B4) Prove that E(cX) = cE(X)
B5) Prove that Var(cX)=ccVar(X)
B6) Var(X)=E(X^2)-[E(X)]^2
B7) Bernoulli Random Variable
C1) Random Variables: Mean and Standard Deviation
C2) Covariance vs Variance
C3) Correlation vs Covariance
D1) Standard Normal Distribution
D2) What is z-score?
D3) What means independent and identically distributed (iid)?
E1) Population Parameter vs Sample Statistic
E2) Standard Error of the Mean
F1) 95% Confidence Interval for Proportion (p)
F2) Normal vs Student’s t-distribution
G1) Null vs Alternative Hypothesis
G2) Type I vs Type II Errors
H1) Randomized Experiment
H2) Two-Sample t-Test in Python
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