Continuous Random Variables (Edexcel A-Level Further Mathematics): Quizzes

📚Quizzes
Revision NotesModel AnswersQuizzesFlashcardsExam Questions
Continuous Random Variables
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

What distinguishes continuous from discrete random variables?

Continuous take values on a continuous scale

What is the formula for E(X)E(X) where XX is a continuous random variable with PDF p(x)p(x)?

E(X)=∫xp(x)dxE(X) = \int x p(x) dx

What is the variance formula for a continuous random variable?

Var(X)=E(X2)−E(X)2\text{Var}(X) = E(X^2) - E(X)^2

How is the PDF obtained from the CDF for a continuous random variable?

Differentiate the CDF

How is the CDF obtained from the PDF?

Integrate the PDF

If Var(Y)=89\text{Var}(Y) = \frac{8}{9}, what is Var(3Y+2)\text{Var}(3Y + 2)?

88

If E(Y)=83E(Y) = \frac{8}{3}, what is E(Y+2)E(Y + 2)?

143\frac{14}{3}

How is the median of a continuous random variable found using the CDF F(x)F(x)?

Solve F(x)=0.5F(x) = 0.5

What is the mode of a continuous random variable?

The maximum of its PDF (if it exists)

What value of F(x)F(x) gives the upper quartile?

F(x)=0.75F(x) = 0.75

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.