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IB Maths AI HL 4.17 Poisson distribution Question Bank

Practise IB Mathematics HL 4.17 by applying poisson 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

AHL 4.17 (HL)—Poisson distribution question 1

[Maximum number: 6]

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.

Question (a)

(a)

Find the probability Taylor hits

[ 5 ]

Question (i)

(i)

at most 10 spaceships in 2 minutes.

[ 2 ]

Question (ii)

(ii)

a total of more than 10 spaceships and battleships in one minute.

[ 3 ]

Question (b)

(b)

State one reason why the distribution of T cannot be Poisson.

[ 1 ]
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