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ZIMSEC O-Level Additional Mathematics

6.2.4.2Continuous random variables

Continuous random variables in ZIMSEC O-Level Additional Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic19 practice questions1 lesson

Learning objectives

What the syllabus expects you to be able to do.

  1. 6.2.4.2.1Form 4: define a continuous random variable and its probability density function.
  2. 6.2.4.2.2Form 4: calculate probabilities, the mean and the variance from a probability density function.

Lessons

  • Continuous random variables and probability density functions

    45 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

XX has pdf f(x)=kxf(x) = kx for 0≤x≤50 \leq x \leq 5, and f(x)=0f(x) = 0 otherwise. Find kk, as a fraction or a decimal.

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

Turn Continuous random variables into a strength.

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