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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 104

A botanical research lab collects soil samples for analysis. The weight of an individual soil sample, SSS, is modelled by a normal distribution with mean 4.12 kg and standard deviation 0.15 kg.

a.

Find the probability that the weights of two randomly selected soil samples differ by more than 0.25 kg.

[4]
b.

Soil samples are grouped and placed into storage bins for transport. The weight of an empty storage bin, BBB, is modelled by a normal distribution with mean 15.4 kg and standard deviation 1.40 kg.

Each fully loaded storage bin contains 30 soil samples.

Find the probability that the total weight of a randomly selected fully loaded storage bin is less than 136.5 kg.

[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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