A random variable X is said to have the Laplace or Double exponential distribution with parameters μ and o, if the density fl is given by f(x|μ,0) = 1 -e √n Σ Xi ΣΧ |x-μ| σ 20 where ∞ <<∞ and o> 0. d I(-∞,∞)(x), a. Calculate the expected value and variance of X b. Consider a random sample X₁, X2, ..., Xn from the standard Laplace distribution, which is special case of the Laplace dis tribution with = 0 and o = 1. Show that N(0, 1/2), as n → ∞

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