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ZIMSEC A-Level Statistics

6.5.2Rectangular and exponential distributions

Rectangular and exponential distributions in ZIMSEC A-Level Statistics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic21 practice questions1 lesson
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Overview

Rectangular distribution: Form 5 (listed under 6.5.1). Exponential distribution: Form 6.

Learning objectives

What the syllabus expects you to be able to do.

  1. 6.5.2.1Form 6: integrate by parts as needed for the exponential distribution.
  2. 6.5.2.2Form 6: use the exponential probability density function to calculate probabilities, the mean, variance and standard deviation, and solve problems.

Lessons

  • The rectangular and exponential distributions

    40 min

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Sample question

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

Rectangular and exponential distributions: sample question

1 mark

X∼U(3,11)X \sim \mathrm{U}(3, 11). Find P(4.2<X<9)\mathrm{P}(4.2 < X < 9).

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

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