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 in which the supply exceeds this critical value (a surplus). An article proposes geometric distribution with p = 0.386 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 0.089 0.858 (b) What is the probability that the length of a drought exceeds its mean value by at least one standard deviation? 1.591 x
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 in which the supply exceeds this critical value (a surplus). An article proposes geometric distribution with p = 0.386 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 0.089 0.858 (b) What is the probability that the length of a drought exceeds its mean value by at least one standard deviation? 1.591 x
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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answer letter (b) correctly.
![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
0.386 for this random variable. (Round your answers to three decimal places.)
in which the supply exceeds this critical value (a surplus). An article proposes a geometric distribution with p
=
(a) What is the probability that a drought lasts exactly 3 intervals? At most 3 intervals?
exactly 3 intervals
at most 3 intervals
0.089
0.858
(b) What is the probability that the length of a drought exceeds its mean value by at least one standard deviation?
1.591
X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fddd96ab9-54be-46e6-927a-d9e159267b74%2F47b31fdb-c232-4eaf-a803-aee3c617c23c%2Ft8gjcar_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 yo (a deficit), preceded by and followed by periods
0.386 for this random variable. (Round your answers to three decimal places.)
in which the supply exceeds this critical value (a surplus). An article proposes a geometric distribution with p
=
(a) What is the probability that a drought lasts exactly 3 intervals? At most 3 intervals?
exactly 3 intervals
at most 3 intervals
0.089
0.858
(b) What is the probability that the length of a drought exceeds its mean value by at least one standard deviation?
1.591
X
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