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Question 99

A company uses three machines, AAA, B B\,B and CCC, to produce a component.

Machine A A\,A produces 40% of the components, machine B B\,B produces 35% and machine C C\,C produces 25%.

Of the components produced by machine AAA, 3% are faulty. Of those produced by machine BBB, 2% are faulty. Of those produced by machine CCC, 1% are faulty.

a.

A component is selected at random. Find the probability that it is faulty.

[2]
b.

Given that the selected component is faulty, find the probability that it was produced by machine CCC.

[3]
Markscheme

2 Statistics Questions

  1. A Level
  2. /Maths
  3. /2 Statistics

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