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 yo (a deficit), preceded by and followed by periods supply exceeds this critical value (a surplus). An article proposes a geometric distribution with p = 0.368 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?
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 yo (a deficit), preceded by and followed by periods supply exceeds this critical value (a surplus). An article proposes a geometric distribution with p = 0.368 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?
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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![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 Y, (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 = 0.368 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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F86bfc21f-7304-4d6a-8ae3-de059a5180e7%2Fc56a193e-4205-4201-9be7-b60872391af0%2F8mxjund_processed.png&w=3840&q=75)
Transcribed Image Text: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 Y, (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 = 0.368 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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