Binomial Distribution

Grade 12 Maths — Binomial Distribution: 25 practice questions with instant scoring and explanations.

1. The binomial distribution models:
2. For binomial distribution B(n, p), the parameters are:
3. P(X = k) in binomial distribution is:
4. For B(n, p), E(X) = :
5. For B(n, p), Var(X) = :
6. For B(n, p), the standard deviation is:
7. If X ~ B(10, 0.5), then P(X = 5) = :
8. C(10, 5) = :
9. For B(n, p), P(X ≤ k) = :
10. If X ~ B(6, 0.3), then P(X ≥ 1) = :
11. The mode of B(n, p) is at k = :
12. A binomial experiment requires:
13. If 8 coins are tossed, P(exactly 3 heads) = :
14. If 5 dice are rolled, P(exactly 2 sixes) = :
15. For B(n, 0.5), the distribution is:
16. As n → ∞, the binomial distribution approaches:
17. The normal approximation to binomial requires:
18. If X ~ B(100, 0.1), then approximately X ~ N(μ, σ²) where μ and σ are:
19. The binomial distribution with n = 1 is called:
20. For B(n, p), as p increases, the distribution shifts:
21. If X ~ B(20, 0.6), then E(X) = :
22. For the same distribution, Var(X) = :
23. For Binomial B(n, p), mean =
24. For Binomial B(n, p), variance =
25. In 5 tosses of a fair coin, P(exactly 3 heads) =