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The Normal Distribution

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Question 290

A fair four-sided die is labelled with the numbers 1, 2, 3 and 4. The die is rolled 50 times and the score, SSS, for each roll is recorded.

a.

Find the mean and the variance of SSS.

[3]
b.

Using the Central Limit Theorem, find an approximation for the probability that the mean of the 50 scores is greater than 2.8.

[4]
Markscheme

The Normal Distribution Questions

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

616 exam-style questions on Edexcel A Level Maths The Normal Distribution, covering 3.1 The Normal Distribution, 3.2 Finding Probabilities for Normal Distributions, 3.3 The Inverse Normal Distribution Function, 3.4 The Standard Normal Distribution, 3.5 Finding the mean and standard deviation, 3.6 Approximating a Binomial Distribution, and 3.7 Hypothesis Testing with the Normal Distribution. Each one has a worked solution and a mark scheme showing where the marks go.

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