UNIT2
IOE Probability & Statistics Workbook

Probability Distributions and Sampling Distribution

Move from random variables to the distributions and sampling ideas used throughout engineering statistics.

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49 pagesPrintable workbook
14 hoursSyllabus weight
3 questions5 marks each

Syllabus Coverage

  • Discrete and continuous random variables
  • Expectation and variance of random variables
  • Binomial, Poisson and negative binomial distributions
  • Normal, Gamma and Chi-square distributions
  • Population, sample and sampling distributions of mean and proportion
  • Central Limit Theorem, assignments and short solutions

Likely Question Pattern

Question 3 - 5 marks

Discrete or continuous random variable: find the constant, probability, mean or variance.

Question 4 - 5 marks

Binomial or Poisson distribution, including exact, at least and at most probabilities.

Question 5 - 5 marks

Normal distribution, sampling distribution or an application of the Central Limit Theorem.

Confirmed: four questions may appear with one internal OR choice, and students attempt any three. Theory and numerical work may be combined as 2+3 or 1+4 marks. View the full exam pattern ›
Formulae

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