Let u1, u2, · · · , un be independent uniform random variables over [0, ? ] with the probability density function (p. d.f) f(x) = 1 ? , x ? [0, ? ], ? > 0. let u(1), u(2), · · · , u(n) be the order statistics. also let x = u(1)/u(n) and y = u(n) . (a) (5pts) find the joint probability density function of (x, y ). (b) (5pts) from part (a), show that x and y are independent variables

the answers c

table 3 represents a direct variation function. : )

step-by-step explanation:

hihi so drawing these 2 triangles is fairly simple. all that's left is finding the height of each one. luckily, we have a side length and an angle, so there is a trig function we can use to solve for the height. the easiest one to use would be tangent, since we have 2/3 things needed to find and the third needed is what we are solving for. tan(73°) * 30 ~= 98.13 and tan(73°) * 35 ~= 114.45