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IB Maths AI HL 4.15 Sampling distributions and CLT Question Bank

Practise IB Mathematics HL 4.15 by applying sampling distributions and clt 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

AHL 4.15 (HL)—Sampling distributions and CLT question 1

[Maximum number: 4]

Taylor is playing a computer game in which they shoot at spaceships and battleships. The number of spaceships they hit per minute can be modelled by a Poisson distribution with mean 4.2. The number of battleships they hit per minute can be modelled by a Poisson distribution with a mean of 2.3. Any single hit occurs independently of all others.

Taylor intends to play the game for one hour.

Use the central limit theorem to find the probability that Taylor's mean score per minute is greater than 25 .

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