3. Suppose that magnetic tape made by a certain factory has an average of 1 flaw per 60 me- ters of tape. If the distribution of these flaws is modeled by a Poisson process, find (a) the probability that a 100m section of tape will have at most 1 flaw. (b) the probability that a 75 meter section will have 3 or more flaws. (c) the maximum length of a section for which the probability that it will contain no flaws is at least 90%.