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The Normal Distribution

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Question 272

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]

The Normal Distribution Questions

  1. A Level
  2. /Maths
  3. /The Normal Distribution

Practise Edexcel A Level Maths The Normal Distribution with exam-style questions for A Level Maths. 439 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

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