(Solved): Let have probability density function ()={ 2 0 h ...

Let $Y$ have probability density function $f_Y(y)=\{\begin{array}{cc}\frac{2y}{{?}^2},& 0<y<?\\ 0& \text{ elsewhere }\end{array}$ a. Determine the cumulative distribution function of $Y$. c. Use the pivotal quantity from part (b) to find $95\%$ lower confidence limit for $?$. b. Show that $Y/?$ is a pivotal quantity.