The number of flaws on a VHS magnetic tape produced continuously at a factory follows a Poisson distribution with an average of 0.01 flaws per meter. A standard VHS cassette tape contains 250 meters of magnetic tape.
a) What is the probability that there are at least two flaws in a single VHS cassette tape?
b) What is the probability that there are no flaws in a single VHS cassette tape; that is, a tape is flawless?
c)In a random sample of 20 cassettes, what is the probability that at least two of them are flawless?
Any help would be appreciated.