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The Normal Distribution

The Normal Distribution

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Question 26

A variable Y Y\,Y is normally distributed with a standard deviation of 2.8. Given P(Y<26)=0.3P(Y < 26) = 0.3P(Y<26)=0.3

Find the mean of Y Y\,Y and hence find P(Y<μ+2.8)P(Y < \mu + 2.8)P(Y<μ+2.8).

Give the mean to 3 significant figures and the probability to 4 decimal places.

[6]
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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