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?e−?|x| for −∞ < x < ∞. The standard deviation is given as 40.6 km. (Round your answers to four decimal places.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 70E
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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?e−?|x|  for −∞ < x < ∞. The standard deviation is given as 40.6 km. (Round your answers to four decimal places.)
 
(b) What is the probability that the extent of daily sea-ice change is within 1 standard deviation of the mean value?
 
Note: 0.4386 is not the answer
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