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4.2 Statistical distributions (A-level only)

4.2 Statistical distributions (A-level only)

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Question 183

The weights of bags of sugar, WWW grams, are normally distributed such that W∼N(μ,1.22)W \sim \text{N}(\mu, 1.2^2)W∼N(μ,1.22).

a.

Given that 25%25\%25% of the bags weigh more than 502502502 grams, find the value of μ\muμ to the nearest 0.10.10.1 g.

[4]
b.

An employee selects 151515 bags at random.

Find the probability that fewer than 222 of these bags weigh more than 502502502 grams.

[3]
c.

A wholesaler selects 200200200 bags at random.

Using a suitable approximation, find the probability that more than 555555 of these bags weigh more than 502502502 grams.

[4]
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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