Question

1. Miles loves the music of ABBA, a Swedish Pop music group that formed in 1972, and who's music was featured in the film "Muriel's Wedding" and the Broadway Musical (which was later adapted as a film) "Mamma Mia" Miles takes a random sample of individuals and asks them to rate their enjoyment of the ABBA song "Voluez-Vous" from 0 to 1, and call's this variable X· Let X1, X2, X3, ,Xn denote a random sample from a distribution with pdf f(r 0) z1,0<z <1,0> 0 ,Xn. (a) 6 points Find the Log Likelihood of θ given the random sample Xi, X2,Xy (b) 6 points Find the Maximum Likelihood Estimator of θ.

Answer 1

Sola iont- Given -na 오(지/6) oge 지 Scaned with CamScanner

do oY ทุ Soge 지 21 62 Cs Scanned with CamScanner

2 303C" 지 n2 Soge 지 Sos e 12 s maimum 121 12l S Scanned with CamScanner