Exercise 6. Let 0 > 0 and X ~U[0, 0], i. e. X is uniformly distributed on the interval [0, 0]. a) As a function of 0, determine P(X 0, against the alternative H1: 0

Extracted text: Exercise 6. Let 0 > 0 and X ~U[0, 0], i. e. X is uniformly distributed on the interval [0, 0]. a) As a function of 0, determine P(X < 1).="" b)="" assume="" that="" 0="" is="" unknown,="" but="" we="" can="" observe="" x.="" hypothesis="" ho:="" 0=""> 0, against the alternative H1: 0 < 0g.="" consider="" the="" test="" which="" rejects="" ho,="" if="" and="" only="" if="" x="">< c.="" how="" should="" we="" choose="" c,="" as="" a="" function="" of="" 00="" and="" a,="" to="" get="" a="" test="" with="" significance="" level="" a?="" carefully="" justify="" your="" answer.="" for="" given="" oo,="" we="" want="" to="" test="">