CourseCourseConceptConceptDocsDocuments

IB Maths AA SL 4.9 Normal Distribution Questions

Practise using the normal curve, standard deviation and the 68–95–99.7 rule, with technology for normal and inverse-normal probabilities in applied data questions.

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

Exam points

  • Standardize a normally distributed variable and calculate a tail or interval probability.
  • Use an inverse normal calculation to find a boundary value from a stated probability.
  • Interpret normal-model probabilities and parameters in the measurement context.

Learn this topic

Study SL 4.9—Normal distribution conceptsOpen the corresponding Concept lesson for explanations, examples and exam connections.

IB Maths AA SL 4.9 Normal Distribution Questions 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.

All question bank results loaded