Assume that the flaws along a magnetic tape follow a Poisson distribution with a mean of 0.2 flaw per meter. Let X denote the distance between two successive flaws.
(a) What is the probability that the first time the distance between two flaws exceeds 8 meters is at the fifth flaw?
(b) What is the mean number of flaws before a distance between two flaws exceeds 8 meters?
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