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ZIMSEC A-Level Statistics

6.5Continuous distributions

Continuous distributions in ZIMSEC A-Level Statistics: what the syllabus expects you to know, the learning objectives and how to practise.
Topic115 practice questions6 lessons
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In this topic

Lessons

  • Continuous random variables and probability density functions

    50 min

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  • Cumulative distribution functions

    45 min

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  • The rectangular and exponential distributions

    40 min

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  • The normal approximation to the binomial distribution

    40 min

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  • The normal distribution: finding values, the mean and the standard deviation

    40 min

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  • The normal distribution: standardising and finding probabilities

    40 min

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Sample question

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

Continuous distributions: sample question

1 mark

The continuous random variable XX has cdf F(x)=x216F(x) = \frac{x^2}{16} for 0≤x≤40 \le x \le 4 (with F=0F = 0 below 0 and F=1F = 1 above 4). Find P(1<X<3)\mathrm{P}(1 < X < 3).

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

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