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2.4 Statistical Distributions

2.4 Statistical Distributions

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Question 135

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]
Markscheme

2.4 Statistical Distributions Questions

  1. A Level
  2. /Maths
  3. /2.4 Statistical Distributions

390 exam-style questions on OCR A Level Maths 2.4 Statistical Distributions, covering 2.4.1 Discrete probability distributions, 2.4.2 Binomial distribution as a model, 2.4.3 Calculating binomial probabilities, 2.4.4 Mean and variance of the binomial (A-level only), 2.4.5 Normal distribution as a model (A-level only), 2.4.6 Probabilities using the normal distribution (A-level only), 2.4.7 Links to histograms, mean and standard deviation (A-level only), and 2.4.8 Selecting an appropriate distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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