Question: A textile manufacturer estimates that it produces bolts of cloth with flaws following a Poisson distribution that has an average of one flaw per 225 feet of cloth.

a. Find the probability that a given 225-foot length of cloth will have no flaws.

b. What is the probability that there will be at least one flaw within a given 250-foot length of cloth?

c. What is the probability that there will be two or fewer flaws in a given 450-foot length of cloth?