In: Statistics and Probability
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 = 0.385 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?