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Cambridge AS & A Level Mathematics

6.3Continuous random variables

Continuous random variables in Cambridge AS & A Level Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Topic20 practice questions1 lesson

Learning objectives

What the syllabus expects you to be able to do.

  1. 6.3.1Understand continuous random variables and recall and use properties of a probability density function.
  2. 6.3.2Use a probability density function for probabilities, the mean and the variance.

Lessons

  • Continuous random variables and probability density functions

    50 min

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Sample question

A sample question on this topic. Answer it, check it, then read the worked answer.

Continuous random variables: sample question

1 mark

The random variable XX has pdf f(x)=kxf(x) = kx for 0≤x≤40 \le x \le 4 and f(x)=0f(x) = 0 otherwise. Find the value of kk.

Only if the answer has a unit, e.g. cm or km/h.

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