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The Normal Distribution

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Question 109

The distribution of the weights of coffee in a jar is normally distributed with a mean of 200 g and a standard deviation of 4.2 g.

Find, to 3 significant figures, the value of x x\,x in each case.

a.

The probability that the weight of the coffee is more than x x\,x g is 0.117

[1]
b.

The probability that the weight of the coffee is less than x x\,x g is 0.117

[1]
c.

The probability that the weight of the coffee is between (200−x)(200-x)(200−x) g and (200+x)(200+x)(200+x) g is 0.776, where x>0x>0x>0

[1]
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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