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IB Maths AI HL 4.8 Binomial distribution Question Bank

Practise IB Mathematics SL/HL 4.8 by applying binomial distribution methods to exam-style questions.

Syllabus
First assessment 2021
Course
Mathematics: applications and interpretation HL
Level
HL

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 4.8—Binomial distribution question 1

[Maximum number: 3]

The company Fred Express delivers packages. From past experience, the time taken, T, to deliver a package follows a normal distribution with mean 64 hours and standard deviation 12 hours.

For quality control, the manager randomly selects five outgoing packages. These selections are independent.

Find the probability that exactly two of these packages are delivered in less than k hours.

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