Unless stated otherwise in the exercise, use software to find the exact Poisson.

Question 5.48

5.48 Flaws in carpets.

Flaws in carpet material follow the Poisson model with mean 0.8 flaw per square yard. Suppose an inspector examines a sample of carpeting measuring 1.25 yards by 1.5 yards.

  1. What is the distribution for the number of flaws in the sample carpeting?
  2. What is the probability that the total number of flaws the inspector finds is exactly five?
  3. What is the probability that the total number of flaws the inspector finds is two or less?