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2 Statistics

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Question 224

The mass of coffee in a jar, in grams, is modelled by a normal distribution with mean 200 g and standard deviation 4.2 g.

a.

Find the probability that the mass of coffee in a randomly chosen jar is more than 205 g. Give your answer to 3 significant figures.

[1]
b.

Find the probability that the mass of coffee in a randomly chosen jar is between 195 g and 205 g. Give your answer to 3 significant figures.

[1]
c.

The manufacturer states that no jar contains a negative mass of coffee. Explain why this does not make the normal model unreasonable here.

[1]
d.

A histogram of the masses is approximately symmetric and bell-shaped, with its highest bars near 200 g and changes of curvature near 195.8 g and 204.2 g. Explain how these features are consistent with the stated normal model.

[2]
Markscheme

2 Statistics Questions

  1. A Level
  2. /Maths
  3. /2 Statistics

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