APPLICATION OF THE POISSON MODEL TO QUALITY ASSURANCE IN GLASS  MANUFACTURING

If X, the number of inclusions found on glass sheets produced in the manufacturing process discussed in Chapter 1 can be considered as a Poisson random variable with theoretical value λ = 1, (1) compute the theoretical probabilities of observing x = 0, 1, 2,. .., 6 inclusions, and compare these with the empirical frequencies generated from the data in Table 1.2 and shown in Table 1.5.  (2)  If,  as  stated  in  Chapter 1, only sheets with 3 or fewer inclusions are acceptable and can be sold unconditionally, theoretically what percentage of the product made in this process can be expected to fall into this desired category? (3) What is the theoretical probability of this process producing sheets with 5 or more inclusions?