University probability and random variables quiz to download as PDF

This University probability and random variables quiz has 10 short questions for pupils aged 18-19. Type your answer, check it straight away and read the explanation when you get one wrong.

University probability and random variables quiz: the 10 questions

\(P(A^c)\) if \(P(A)=0.3\)?
\(E[X]\) for a fair coin with heads=1?
Mean of \(B(12,0.5)\)?
Variance of \(\text{Po}(4)\)?
\(\Phi(-z)\) in terms of \(\Phi(z)\)?
\(\binom{6}{2}\)?
\(\operatorname{Var}(X+5)\)?
\(P(Z<1.645)\) approximately?
If \(X\sim N(0,1)\), \(E[X^2]\)?
Name the theorem \(P(A|B)=\frac{P(B|A)P(A)}{P(B)}\).

How to use this University probability and random variables quiz

First, answer every question without a calculator unless the question says so. Then check your answer and read the short explanation. If you get fewer than 7 right, revise the probability and random variables lesson and try again later. After that, try the multiple choice questions or the probability and random variables worksheet.

Finally, take this quiz again before a test, because quick retrieval helps you remember. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.