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.
Find the probability that a sample is rejected.
The inspector takes 6 such samples, independently. Find the probability that exactly 2 of them are rejected.
Find the expected number of rejected samples out of the 6.
39 exam-style questions on AQA A Level Maths 2.4.1 Discrete distributions and the binomial. Each one has a worked solution and a mark scheme showing where the marks go.