Mean & Variance of Random Variables, Binomial Distribution

Grade 12 Maths Higher — Mean & Variance of Random Variables, Binomial Distribution: 25 practice questions with instant scoring and explanations.

1. Binomial distribution X ~ B(n, p):
2. E[X] for X ~ B(n, p) =
3. Var(X) for X ~ B(n, p) =
4. Bernoulli X ~ B(1, p) has:
5. Sum of independent binomials:
6. Normal approximation to binomial:
7. Poisson approximation to binomial:
8. Negative binomial:
9. Geometric distribution:
10. Poisson X ~ P(λ) has:
11. Hypergeometric distribution:
12. Uniform distribution U[a,b]:
13. Exponential X ~ Exp(λ):
14. Normal X ~ N(μ, σ²):
15. Standard normal Z ~ N(0, 1):
16. Chi-square X ~ χ²(k):
17. t-distribution t(k):
18. F-distribution F(m,n):
19. Beta distribution:
20. Gamma distribution:
21. Weibull distribution:
22. Lognormal:
23. Mixture distribution:
24. Generating function properties:
25. Review question for Mean & Variance of Random Variables, Binomial Distribution