IB Maths AI HL Ahl 4 15 Hl Sampling Distributions and Clt Topic Practice

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Study AHL 4.15 (HL)—Sampling distributions and CLT conceptsOpen the corresponding Concept lesson for explanations, examples and exam connections.

Question 1

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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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