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3.6 Approximating a Binomial Distribution

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Question 29

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

3.6 Approximating a Binomial Distribution Questions

  1. A Level
  2. /Maths
  3. /3.6 Approximating a Binomial Distribution

67 exam-style questions on Edexcel A Level Maths 3.6 Approximating a Binomial Distribution. Each one has a worked solution and a mark scheme showing where the marks go.

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