Aaron judge hits a middle over the left centerfield wall of safeco field. It went so far the star tracker could not determine its actual distance. At its highest point thought, it had only traveled 252 feet. How far did it travel in total and why'd you think this ?

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.