Let Y1 < Y2 < · · · < Yn be the order statistics of a random sample of size n from an exponential distribution with pdf f (x) = e −x, 0 < x < ∞.

(a) Find the pdf of Yr.

(b) Determine the pdf of U = e −Yr .

ST 701 Week Five Notes MaLyn Lawhorn September 12, 2017 and September 14, 2017 Last Time ▯ Cumulative Distribution Function (CDF) – denoted X (x) – gives the probability that X ▯ x, x 2 R – Properties: 1. non-decreasing function 2. F(▯1) = 0, F(+1) = 1 3. right-continuousX F (x)...