4.5.11. Let $Y_1 < Y_2 < Y_3$ be the order statistics of a random sample of size $n = 3$ from a distribution with pdf $f(x; \theta) = 1/\theta$, $0 < x < \theta$, zero elsewhere, where $0 < \theta$. The hypothesis $H_0: \theta = 1$ is rejected and $H_1: \theta > 1$ is accepted if the observed $Y_3 \ge c$.
(a) Find the constant $c$ so that the significance level is $\alpha = 0.05$.
(b) Determine the power function of the test.