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The Normal Distribution

The Normal Distribution

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Question 299

The random variable XXX has a normal distribution with mean 50 and standard deviation 8.

a.

Find P(X<62.4)P(X < 62.4)P(X<62.4).

[2]
b.

Find the value of kkk such that P(X<k)=0.0668P(X < k) = 0.0668P(X<k)=0.0668.

[2]
c.

Find the value of mmm such that P(X>m)=0.0668P(X > m) = 0.0668P(X>m)=0.0668.

[2]
d.

Find P(k<X<m)P(k < X < m)P(k<X<m).

[2]
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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