Question: Assume that the flaws along a magnetic tape follow a Poisson distribution with a mean of 0.2 flaws per meter. Let X denotes the distance

Assume that the flaws along a magnetic tape follow a Poisson distribution with a mean of 0.2 flaws per meter. Let X denotes the distance between two successive flaws.
(a) What is the mean of X?
(b) What is the probability that there are no flaws in 10 consecutive meters of tape?
(c) Does your answer to part (b) change if the 10 meters are not consecutive?
(d) How many meters of tape need to be inspected so that the probability that at least one flaw is found is 90%?

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