Suppose a research paper states that the distribution of the daily sea-ice advance/retreat from each sensor is similar and is approximately double exponential. The proposed double exponential distribution has density function f(x) = 0.5lelxl for -00
Suppose a research paper states that the distribution of the daily sea-ice advance/retreat from each sensor is similar and is approximately double exponential. The proposed double exponential distribution has density function f(x) = 0.5lelxl for -00
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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![Suppose a research paper states that the distribution of the daily sea-ice advance/retreat from each sensor is similar and is approximately double exponential. The proposed double exponential distribution has density function \(f(x) = 0.5\lambda e^{-\lambda |x|}\) for \(-\infty < x < \infty\). The standard deviation is given as 40.5 km. (Round your answers to four decimal places.)
(a) What is the value of the parameter \(\lambda\)?
\[
\lambda = \text{____}
\]
(b) What is the probability that the extent of daily sea-ice change is within 1 standard deviation of the mean value?
\[
\text{Probability = \underline{_______}}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F306db17a-c2a3-4020-aada-7a92dff91485%2F6acbdd44-4b67-4e14-be68-513de8819d62%2Fk2swgu_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose a research paper states that the distribution of the daily sea-ice advance/retreat from each sensor is similar and is approximately double exponential. The proposed double exponential distribution has density function \(f(x) = 0.5\lambda e^{-\lambda |x|}\) for \(-\infty < x < \infty\). The standard deviation is given as 40.5 km. (Round your answers to four decimal places.)
(a) What is the value of the parameter \(\lambda\)?
\[
\lambda = \text{____}
\]
(b) What is the probability that the extent of daily sea-ice change is within 1 standard deviation of the mean value?
\[
\text{Probability = \underline{_______}}
\]
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