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4.2 Statistical distributions (A-level only)

4.2 Statistical distributions (A-level only)

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Question 147

The masses of vacuum-sealed pouches of Estate coffee beans are normally distributed with a mean of 520 g and a standard deviation of 15 g.

a.

Calculate the mean and the standard deviation of the total mass of a carton containing 8 randomly selected pouches of Estate coffee beans.

[3]
b.

A distributor prepares a wholesale shipment using one carton of 8 pouches.

Determine the probability that the total mass of the pouches in this carton exceeds 4220 g.

[3]
c.

The masses of Wholesale bulk bags of coffee are normally distributed with a mean of 2200 g and a standard deviation of 45 g.

Determine the probability that the total mass of 8 randomly selected pouches of Estate coffee beans is less than twice the mass of a single Wholesale bulk bag.

[6]
Markscheme

4.2 Statistical distributions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /4.2 Statistical distributions (A-level only)

328 exam-style questions on WJEC A Level Maths 4.2 Statistical distributions (A-level only), covering 4.2.1 Statistical distributions (A-level only), 4.2.2 Statistical distributions (A-level only), and 4.2.3 Statistical distributions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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