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IB Maths AI HL Sl 4 8 Binomial Distribution Questions

Practise choosing a binomial model, identifying n and p, calculating probabilities, mean or variance with technology, and checking assumptions in context.

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

Exam points

  • Choose the binomial model and identify n and p for a fixed number of independent trials with two outcomes.
  • Use technology to calculate binomial probabilities, mean or variance and answer cumulative or threshold questions.
  • Check model assumptions and interpret the probability or expected result in context.

Learn this topic

Study SL 4.8—Binomial distribution conceptsOpen the corresponding Concept lesson for explanations, examples and exam connections.

IB Maths AI HL Sl 4 8 Binomial Distribution Questions 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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