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2.4 Statistical distributions

2.4 Statistical distributions

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Question 5

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

a.

Find P(X=10)P(X=10)P(X=10).

[2]
b.

Find P(X≥9)P(X\geq9)P(X≥9).

[2]
c.

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

[2]
d.

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

[2]
Markscheme

2.4 Statistical distributions Questions

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

47 exam-style questions on WJEC A Level Maths 2.4 Statistical distributions, covering 2.4.1 Statistical distributions, 2.4.2 Statistical distributions, and 2.4.3 Statistical distributions. Each one has a worked solution and a mark scheme showing where the marks go.

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