Let x be the the capacity of a beam. the cdf of x is given as: f(x) = 1 − 10 x 4 , x ≥ 10 = 0 , x < 10 1 • determine median of x? • what is the expected capacity of the beam? • if the load on the beam can take values 15, 20, and 25 with probabilities 0.2, 0.35, and 0.45 respectively, determine the probability of failure of the beam? assume the beam fails when the load is higher than the capacity.