Mean, variance and Poisson approximation to the binomial

Mean, variance and Poisson approximation to the binomial Quiz

Spec 2.2–3 · Edexcel A-Level Further Maths: Quiz

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1. $X\sim B(50,0.2)$ . Find $\text{Var}(X)$ .
- A. $10$
- B. $40$
- C. $8$
- D. $2.83$
2. $Y\sim\text{Po}(7)$ . Find $\text{Var}(Y)$ .
- A. $7$
- B. $49$
- C. $\sqrt7$
- D. $3.5$
3. A binomial variable has mean $20$ and variance $16$ . Find $p$ .
- A. $0.8$
- B. $0.16$
- C. $0.25$
- D. $0.2$
4. For which binomial distribution is a Poisson approximation most suitable?
- A. $B(20,0.5)$
- B. $B(500,0.01)$
- C. $B(10,0.3)$
- D. $B(1000,0.6)$
5. $X\sim B(200,0.01)$ is approximated by $\text{Po}(\lambda)$ . Find $\lambda$ .
- A. $0.01$
- B. $200$
- C. $2$
- D. $1.98$