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2.4 Statistical Distributions

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Question 48

The viscosity of a specific liquid polymer, VVV, is known to be normally distributed with a mean of 1420 mPa·s and a standard deviation of 115 mPa·s. A quality control engineer takes a random sample of 24 independent batches to monitor the stability of the production line. Determine the probability that the mean viscosity of this sample, Vˉ\bar{V}Vˉ, is less than 1385 mPa·s.

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Markscheme

2.4 Statistical Distributions Questions

  1. A Level
  2. /Maths
  3. /2.4 Statistical Distributions

390 exam-style questions on OCR A Level Maths 2.4 Statistical Distributions, covering 2.4.1 Discrete probability distributions, 2.4.2 Binomial distribution as a model, 2.4.3 Calculating binomial probabilities, 2.4.4 Mean and variance of the binomial (A-level only), 2.4.5 Normal distribution as a model (A-level only), 2.4.6 Probabilities using the normal distribution (A-level only), 2.4.7 Links to histograms, mean and standard deviation (A-level only), and 2.4.8 Selecting an appropriate distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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