Consider the Discrete PDF

$\displaystyle f(x;q)=(q/2)^{|x|}(1-q)^{1-|x|} $ for $\displaystyle x=-1,0,1$ and $\displaystyle 0<q<1$

a) Is $\displaystyle f(x;q)$ a complete family? if so why?

b) Find a complete sufficient statistic for $\displaystyle q$

c)Find the Uniformly Minimum Variance Unbiased Estimator for $\displaystyle q$

Please help me solve these questions

thank you