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2.4.12 Calculate probabilities from a Normal distribution (A-level only)

2.4.12 Calculate probabilities from a Normal distribution (A-level only)

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Question 81

The burst altitude of SkyBound meteorological balloons, HHH metres, is normally distributed with mean 32,000 metres and standard deviation 1,400 metres.

a.

(i) Find P(H≠32000)P(H \neq 32000)P(H=32000).

(ii) Find P(30000<H<35000)P(30000 < H < 35000)P(30000<H<35000).

[4]
b.

Determine the altitude exceeded by 70% of SkyBound balloons.

[4]
c.

A competing brand, AeroVantage, has a burst altitude YYY metres modelled by a normal distribution with mean 28,000 metres and standard deviation σ\sigmaσ. Given that 18% of randomly selected AeroVantage balloons burst below 26,000 metres, find the value of σ\sigmaσ, correct to three significant figures.

[4]
Markscheme

2.4.12 Calculate probabilities from a Normal distribution (A-level only) Questions

  1. A Level
  2. /Maths
  3. /2.4.12 Calculate probabilities from a Normal distribution (A-level only)

149 exam-style questions on OCR (MEI) A Level Maths 2.4.12 Calculate probabilities from a Normal distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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