Discrete uniform distribution

Discrete uniform distribution Quiz

Spec SA6–SA7 · AQA A-Level Further Maths: Quiz

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5 questions, one answer each

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1. $X$ is uniform on $\{1,\ldots,10\}$ . Find $P(X=7)$ .
- A. $0.1$
- B. $0.7$
- C. $0.07$
- D. $\frac17$
2. $X$ is uniform on $\{1,\ldots,11\}$ . Find $E(X)$ .
- A. $5.5$
- B. $6$
- C. $11$
- D. $5$
3. $X$ is the score on a fair six-sided die. Find $\mathrm{Var}(X)$ .
- A. $3.5$
- B. $\frac{35}{6}$
- C. $\frac{35}{12}$
- D. $\frac56$
4. Which situation can be modelled by a discrete uniform distribution?
- A. The total of two fair dice
- B. The score on a loaded die
- C. The number of heads in $3$ tosses
- D. The score on a fair eight-sided die
5. $X$ is uniform on $\{1,\ldots,n\}$ with $\mathrm{Var}(X)=2$ . Find $n$ .
- A. $4$
- B. $5$
- C. $6$
- D. $7$