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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) = 0.5lelxl 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)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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? \[ \text{Probability = \underline{_______}} \]
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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