Last updated on Oct 23, 2026

Linear Transformations of DRVs (Edexcel A-Level Further Mathematics): Quizzes

📚Quizzes

Revision Notes Model Answers Quizzes Flashcards Exam Questions

Linear Transformations of DRVs

Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

10 questions from this quiz

Show

If $E(X) = 5$ , what is $E(3X)$ ?

$15$

If $\text{Var}(X) = 4$ , what is $\text{Var}(3X)$ ?

$36$

If $\text{Var}(X) = 9$ , what is $\text{Var}(X + 5)$ ?

$9$

What effect does adding a constant to $X$ have on the spread of the distribution?

No effect on the spread

Why is $\text{Var}(kX) = k^2 \text{Var}(X)$ rather than $k \text{Var}(X)$ ?

Variance measures squares of spreads

If $X \sim N(10, 4)$ and $Y \sim N(15, 9)$ are independent, what is $X + Y$ ?

$N(25, 13)$

If $X \sim N(20, 5)$ and $Y \sim N(12, 3)$ are independent, what is the variance of $X - Y$ ?

$8$

If $X \sim Po(7)$ and $Y \sim Po(5)$ are independent, what is $X + Y$ ?

$Po(12)$

For a Poisson distribution $Po(\lambda)$ , what is the relationship between mean and variance?

They are equal

Can the difference of two Poisson distributions be a Poisson distribution?

No, mean $\neq$ variance for difference

Explore Edexcel A-Level Further Mathematics Revision Notes by Topics

Discrete Probability Distributions

Explore Edexcel A-Level Further Mathematics Model Answers by Topics

Discrete Probability Distributions

Explore Edexcel A-Level Further Mathematics Flashcards by Topics

Discrete Probability Distributions

Explore Edexcel A-Level Further Mathematics Exam Questions by Topics

Discrete Probability Distributions

Join 100,000+ A-Level students studying Quizzes with us.

Select your subjects, and get access to A+ resources today.