Explain laplace distribution, Advanced Statistics

Laplace distribution: The probability distribution, f(x), given by the following formula
524_laplace distribution.png 


Can be derived as the distribution of the difference of two independent random variables each having an alike exponential distribution. The examples of the distribution are shown in the Figure. The skewness mean, variance, and kurtosis of the distribution are as follows:
763_laplace distribution1.png 

1557_laplace distribution2.png

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