Mathematics, 26.10.2019 01:43, ejuarez2020
For a certain river, suppose the drought length y is the number of consecutive time intervals in which the water supply remains below a critical value y0 (a deficit), preceded by and followed by periods in which the supply exceeds this critical value (a surplus). an article proposes a geometric distribution with p = 0.383 for this random variable. (round your answers to three decimal places.) (a) what is the probability that a drought lasts exactly 3 intervals? at most 3 intervals? exactly 3 intervals at most 3 intervals. (b) what is the probability that the length of a drought exceeds its mean value by at least one standard deviation?
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