Random Variables & Probability Distributions

Grade 12 Maths Higher — Random Variables & Probability Distributions: 25 practice questions with instant scoring and explanations.

1. Random variable:
2. Probability mass function (PMF) p(x) =
3. Cumulative distribution function (CDF) F(x) =
4. Probability density function (PDF) f(x) ≥ 0 with:
5. Expected value E[X] =
6. Variance Var(X) =
7. Standard deviation σ =
8. Linear transformation E[aX + b] =
9. For independent X, Y: Var(X + Y) =
10. Moment E[Xⁿ]:
11. Skewness:
12. Kurtosis:
13. Moment generating function:
14. Characteristic function φ(t) =
15. Quantile q_p:
16. Median =
17. Interquartile range IQR =
18. Covariance Cov(X,Y) =
19. Correlation ρ =
20. Joint distribution:
21. Marginal distribution:
22. Conditional distribution f(y|x) =
23. Law of total expectation:
24. Law of total variance:
25. Review question for Random Variables & Probability Distributions