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 blue whale is the largest animal living on the earth. the average blue whale measures 100 feet long (30 meters) and weighs 300,000 pounds (136,000 kilograms). a whale’s head is 1⁄3 of the length of its body. a new baby whale is 1⁄4 the length of a grown whale. the average man is 1⁄17 the length of a blue whale, and 1⁄1,818 its weight. a human baby measures 1⁄4 of the length of an adult. calculate the following information: how long is a whale’s head? how long is a new baby whale? how tall is the average man? how much does the average man weigh? how tall is the average human baby?

The total cost of anja’s trip to the dentist was $628.35. she paid a flat fee of $89.95 which included the checkup and cleaning and then had 4 cavities filled, each of which cost the same amount. which shows the correct equation and value of x, the cost of each cavity filling?

Which of the following is the shape of a cross section of the figure shown below