9.84 Consider a random sample, x1, x2 , . . . , xn , from a population, with the parameter, , and a density function

9.84 Consider a random sample, x1, x2 , . . . , xn , from a population, with the parameter, θ, and a density function f(x) =

12 e

−|x−θ |

, −∞ < x < ∞

0, elsewhere

(a) Write out the likelihood function.

(b) Write out the equation that, when solved, will give the maximum likelihood estimator of θ.