Let x have a uniform density
p(x|) U(0, ) =
(
1/, 0 x
0, otherwise.
(a) Assume that n samples D = {x1, . . . xn} are drawn independently according to p(x|). Illustrate that MLE for is max[D] - that is, value of the maximum element in D.
(b) Assume that n = 5 points are drawn from distribution and maximum value of which occurs to be 0.6. Plot likelihood p(D|) in range 0 1. Describe in words why you do not need to know values.