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2.4 Probability Distributions

2.4 Probability Distributions

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Question 37

A factory makes components in batches of 25. The number $X\,$ of defective components is modelled by $B (25, 0.4)$ .

a.

Find $X\,$ .

[1]

b.

Find $E (X)$ .

[2]

c.

Estimate how many of 150 batches contain at least 9 defective components.

[2]

d.

Criticise the value $p = 0.4$ and the independence assumption as a model for a well-controlled production process.

[2]

Markscheme

2.4 Probability Distributions Questions

A Level
Maths
2.4 Probability Distributions

390 exam-style questions on OCR (MEI) A Level Maths 2.4 Probability Distributions, covering 2.4.1 Recognise binomial situations, 2.4.2 Probability of success p, 2.4.3 Calculate binomial probabilities, 2.4.4 Mean of the binomial distribution, 2.4.5 Expected frequencies for binomial, 2.4.6 Probability functions and discrete random variables, 2.4.7 Numerical probabilities for a simple distribution, 2.4.8 Normal distribution as a model (A-level only), 2.4.9 Shape of the Normal curve (A-level only), 2.4.10 Linear transformation and standardising (A-level only), 2.4.11 Symmetry and inflection of Normal curve (A-level only), 2.4.12 Calculate probabilities from a Normal distribution (A-level only), 2.4.13 Model with probability distributions, and 2.4 Probability Distributions. Each one has a worked solution and a mark scheme showing where the marks go.

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