Q1. (10 points] If XLXZ, ...X.n are distributed i.i.d. Exponentialg), then they have probability density function 09 0 otherwise and cumulative distribution function0,, 0 otherWIse. Show that Y = nX[1], the product of the sample size and the first order statistic [not the first observation) for the sample, has an Exponentiall] distribution.