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IB Maths AA SL 4.9 Normal distribution Question Bank

Practise IB Mathematics SL/HL 4.9 by applying normal distribution methods to exam-style questions.

Syllabus
First assessment 2021
Course
Mathematics: analysis and approaches SL
Level
SL

Exam points

  • identify the mathematical structure, variable or representation
  • select and apply the correct theorem, formula or algorithm
  • check the result using units, domain, graph or logical reasoning

SL 4.9—Normal distribution question 1

[Maximum number: 2]

A nationwide study on reaction time is conducted on participants in two age groups. The participants in Group X are less than 40 years old. Their reaction times are normally distributed with mean 0.489 seconds and standard deviation 0.07 seconds.

A person is selected at random from Group X . Find the probability that their reaction time is greater than 0.65 seconds.

The participants in Group Y are 40 years or older. Their reaction times are normally distributed with mean 0.592 seconds and standard deviation σ\sigma seconds.

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