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2.4.8 Normal distribution as a model (A-level only)

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Question 33

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]

2.4.8 Normal distribution as a model (A-level only) Questions

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