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ZIMSEC A-Level Statistics

6.5.3Normal distribution

Normal distribution in ZIMSEC A-Level Statistics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic54 practice questions3 lessons
Practise this topicAll Statistics topics

Overview

Form 5.

Learning objectives

What the syllabus expects you to be able to do.

  1. 6.5.3.1Form 5: explain the characteristics of a normal distribution curve and standardise a random variable.
  2. 6.5.3.2Form 5: use the standard normal tables to obtain probabilities.
  3. 6.5.3.3Form 5: approximate the binomial by the normal distribution when np > 5 and nq > 5, with a continuity correction.
  4. 6.5.3.4Form 5: use the normal distribution as a model to solve problems.

Lessons

  • 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.

Normal distribution: sample question

1 mark

X∼B(60,0.5)X \sim \mathrm{B}(60, 0.5) is approximated by Y∼N(30,15)Y \sim \mathrm{N}(30, 15). Which probability should be calculated for P(X<18)\mathrm{P}(X < 18)?

Choose one answer

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