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Previous Section: Continuous Distributions
This whole chapter is A level only (not needed for AS Further Maths).
Contents
- Whole Topic Notes
- 4A Combinations of Random Variables*
- Whole Topic Summary Resources (Including Past Paper Questions)
Whole Topic Notes
Full Notes to Accompany Examples
Dr Frost
- Dr Frost Further Statistics 2 Combinations of Random Variables Section
- Dr Frost Further Statistics 2 Combinations of Random Variables Slides
4A Combinations of Random Variables*
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Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 867a: Determine E(X \pm Y) given E(X) and E(Y)
- 867b: Determine Var(X \pm Y) given Var(X) and Var(Y)
- 867c: Determine E(X \pm Y) given normal distributions X and Y
- 867d: Determine Var(X \pm Y) given normal distributions X and Y
- 867e: Determine E(aX \pm bY) given E(X) and E(Y)
- 867f: Determine Var(aX \pm bY) given Var(X) and Var(Y)
- 867g: Determine a normal distribution that is the linear sum of other normal distributions.
- 867h: Determine a normal distribution, in context, that is the sum of identically distributed normal distributions, and distinguish between Var(nX) and Var(X_1 + … + X_n)
- 867i: Determine the probability P(A > B) given two normally distributed random variables.
- 867j: Determine in context the probability P(mA > nB) given two normally distributed random variables.
- 867k: Determine the probability P(\left|A \pm B\right| < k) given two normally distributed random variables.
- 867: Exam Practice: Expected value and variance of linear combinations of random variables