The article Microwave Observations of DailyAntarctic SeaIce Edge Expansion and

Chapter 4, Problem 62

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The article Microwave Observations of DailyAntarctic SeaIce Edge Expansion and ContributionRates (IEEE Geosci. and Remote Sensing Letters,2006: 54-58) states that The distribution of the daily sea-ice advance/retreat from each sensor is similar andis approximately double exponential. The proposed double exponential distribution has density function \(f(x)=.5 \lambda e^{-\lambda|x|} \text { for }-\infty<x<\infty \text {. }\). The standard deviation is given as 40.9 km.

a. What is the value of the parameter \(\lambda\)?

b. What is the probability that the extent of daily sea ice change is within 1 standard deviation of the mean value?

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