ZIMSEC A-Level Statistics
6.5.1Probability distribution of a continuous random variable
Probability distribution of a continuous random variable in ZIMSEC A-Level Statistics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic40 practice questions2 lessons
Overview
Form 5 (includes the rectangular distribution, taught with the exponential distribution under 6.5.2).
Learning objectives
What the syllabus expects you to be able to do.
- 6.5.1.1Form 5: differentiate and integrate polynomial and exponential functions as needed for probability density functions.
- 6.5.1.2Form 5: use probability density functions and cumulative distribution functions to calculate probabilities.
- 6.5.1.3Form 5: calculate the mean, mode, median, variance, standard deviation and percentiles.
- 6.5.1.4Form 5: obtain the cumulative distribution function from the density by integration and the density from the cumulative distribution function by differentiation.
Lessons
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Continuous random variables and probability density functions
50 min
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Cumulative distribution functions
45 min
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Sample question
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