In a certain automobile manufacturing paint shop, paint defects on the hood occur at a mean rate of 0.8 defects per square meter. A hood on a certain car has an area of 3 square meters. (a) Justify...

In a certain automobile manufacturing paint shop, paint defects on the hood occur at a mean rate of 0.8 defects per square meter. A hood on a certain car has an area of 3 square meters. (a) Justify the use of the Poisson model. (b) If a customer inspects a hood at random, what is the probability that there will be no defects? (c) One defect? (d) Fewer than two defects?