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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

  • Use the normal distribution curve with its mean and standard deviation, applying the 68–95–99.7 rule to estimate probabilities and intervals.
  • Use technology to calculate normal and inverse-normal probabilities, converting to standardised values and interpreting the resulting cut-off or context.

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.

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