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4.2.2 Statistical distributions (A-level only)

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Question 49

A factory produces a large batch of glass beads, of which 8% are found to have minor surface imperfections. A random sample of 50 beads is selected and the number of imperfect beads is recorded.

a.

Find the probability that there are at most 5 imperfect beads in this sample.

[2]
b.

A second random sample of 50 beads is selected and the number of imperfect beads is recorded.

Using a Poisson approximation, estimate the probability that the total number of imperfect beads in the combined sample of size 100 is fewer than 11.

[3]
Markscheme

4.2.2 Statistical distributions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /4.2.2 Statistical distributions (A-level only)

292 exam-style questions on WJEC A Level Maths 4.2.2 Statistical distributions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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