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2.4.6 Probabilities using the normal distribution (A-level only)

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Question 58

A factory produces bags of flour. The weight of flour, WWW grams, in a bag can be modelled by a normal distribution with mean 505 grams and standard deviation 4 grams.

a.

Find P(W<498)P(W < 498)P(W<498).

[2]
b.

Find the value of www such that P(505<W<w)=0.35P(505 < W < w) = 0.35P(505<W<w)=0.35.

[4]
c.

Two bags of flour are selected at random.

Find the probability that exactly one of the bags contains between 505 grams and www grams of flour.

[2]

2.4.6 Probabilities using the normal distribution (A-level only) Questions

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