Let W1,W2 be independent, each with a Cauchy distribution. In this exercise we find the pdf of the sample mean, (W1 +W2)/2.

(a) Show that the pdf of X1 = (1/2)W1 is

(b) Let Y1 = X1 + X2 = and Y2 = X1, where X2 = (1/2)W2. Show that the joint pdf of Y1 and Y2 is

(c) Show that the pdf of Y1 = is given by the convolution formula,

(d) Show that

That is, the pdf of is the same as that of an individual W.

Drugs & Individual Behavior Week 12 Tuesday, November 8, 2016 No notes today took our third exam :) Thursday, November 12, 2016 ● Antidepressants ○ Tricyclic antidepressants...