A pen company averages 1.2 defective pens per carton produced (200 pens).The number of defects per carton is Poisson distributed.

A pen company averages 1.2 defective pens per carton produced (200 pens).The number of defects per carton is Poisson distributed.

a. What is the probability of selecting a carton and finding no defective pens?

b. What is the probability of finding eight or more defective pens in a carton?

c. Suppose a purchaser of these pens will quit buying from the company if a carton contains more than three defective pens. What is the probability that a carton contains more than three defective pens?