Arectangle with length three times its width needs to be placed on the coordinate plane for use in a coordinate proof. (a) describe how to place the rectangle on the coordinate plane. (b) tell what the coordinates of the vertices would be. use variables for nonzero coordinates

The random variable x has probability density function f (x) = k(−x²+5x−4) 1 ≤ x ≤ 4 or =0 1 show that k = 2/9 find 2 e(x), 3 the mode of x, 4 the cumulative distribution function f(x) for all x. 5 evaluate p(x ≤ 2.5). 6 deduce the value of the median and comment on the shape of the distribution.