The probability that a component is faulty is 0.04, independently of every other component. A batch consists of 25 components.
Find the probability that a batch contains exactly 2 faulty components.
Find the probability that a batch contains more than 2 faulty components.
Two batches are taken independently. Find the probability that exactly one of the two batches contains more than 2 faulty components.
390 exam-style questions on AQA A Level Maths 2.4 N: Statistical distributions, covering 2.4.1 Discrete distributions and the binomial, 2.4.2 The Normal distribution (A-level only), and 2.4.3 Selecting an appropriate distribution (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.