Question 1

Paper 2Easy6 marks

A filling machine produces packets of dried fruit. The mass XX in grams, of a randomly selected packet is modelled by a normal distribution with mean 500500 g and standard deviation 44 g.

(a)

Sketch the normal curve for XX Label the horizontal axis with μ−σ\mu-\sigma μ\mu μ+σ\mu+\sigma and their corresponding masses.

[2]
(b)

Use your GDC to calculate the probability that a packet has a mass between 496496 g and 504504 g. Give your answer to four significant figures.

[2]
(c)

Use your GDC to find the mass xx such that 90%90\% of packets have a mass less than xx Give your answer to the nearest 0.10.1 g.

[2]

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