For Exercises 5.1 and 5.2, see page 245; for 5.3 to 5.6, see page 246; for 5.7 to 5.9, see page 250; for 5.10 and 5.11, see page 253; for 5.12 and 5.13, see pages 254255; for 5.14, see page 256; and for 5.15 to 5.17, see page 260.

Question 5.42

5.42 Industrial accidents.

A large manufacturing plant has averaged seven “reportable accidents” per month. Suppose that accident counts over time follow a Poisson distribution with mean seven per month.

  1. What is the probability of exactly seven accidents in a month?
  2. What is the probability of seven or fewer accidents in a month?