A textile manufacturer estimates that it produces bolts of cloth with flaws following a Poisson distribution that has an average of one flaw per 200 feet of cloth.
a. Find the probability that a given 200-foot length of cloth will have no flaws.
b. What is the probability that there will be at least one flaw within a given 200 foot length of cloth?
c. What is the probability that there will be two or fewer flaws in a given 300 foot length of cloth?