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) = 0.5ie-Alxl for -∞ < x < 0. The standard deviation is given as 40.9 km. (Round your answers to four decimal places.) (a) What is the value of the parameter i? (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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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 40.9 km. (Round your answers to four decimal places.)

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

\(\lambda =\) [____]

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

[____]
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 40.9 km. (Round your answers to four decimal places.) (a) What is the value of the parameter \(\lambda\)? \(\lambda =\) [____] (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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