Random Variables & Probability Distributions

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

1. A random variable is a function that assigns:
2. A discrete random variable takes:
3. A continuous random variable can take:
4. The probability distribution of X is:
5. For a probability distribution, Σ P(X = xᵢ) = :
6. The cumulative distribution function F(x) = P(X ≤ x) satisfies:
7. The expected value (mean) of a discrete random variable X is:
8. If X has PDF f(x), then E(X) = :
9. The variance of X is defined as:
10. The standard deviation is:
11. If X = c (constant), then E(X) = :
12. If X = c (constant), then Var(X) = :
13. For any constant a, E(aX) = :
14. Var(aX) = :
15. For independent X and Y, Cov(X, Y) = :
16. E(X + Y) = :
17. Var(X + Y) when X, Y independent = :
18. The mode of a distribution is:
19. The median is the value x such that:
20. For a normal distribution, mean, median, and mode are:
21. The skewness of a distribution measures:
22. Kurtosis measures:
23. For uniform distribution on [a, b], E(X) = :
24. Question?
25. Question?