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2 Statistics

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Question 206

An inspector takes a random sample of 20 items from a production line. The probability that any item is faulty is 0.08, independently of every other item. A sample is rejected if it contains 3 or more faulty items.

a.

Find the probability that a sample is rejected.

[2]
b.

The inspector takes 6 such samples, independently. Find the probability that exactly 2 of them are rejected.

[3]
c.

Find the expected number of rejected samples out of the 6.

[1]
Markscheme

2 Statistics Questions

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

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