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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 98

The concentration of a specific catalyst, C C\,C mg/L, in a chemical reaction follows a normal distribution where C∼N(μ,12.52)C \sim N(\mu, 12.5^2)C∼N(μ,12.52). Observations show that the catalyst concentration exceeds 145.6 mg/L in only 8.85% of trials.

a.

Determine the value of the mean concentration μ\muμ.

[4]
b.

Find the probability that the catalyst concentration in a randomly selected trial lies between the mean and 145.6 mg/L.

[2]
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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