Hero, the receptionist at a spaL noticed that the arrival time X of a client within a 30-minute period has the rectangular distribution. Thus, X ~ it = 0, b = 30) with probability density function. 1 : i: '1: . x) 3O,0_x_30 a. Find the mean and standard deviation of X b. What is the probability that a client will arrive during the last ten minutes of a given 30-minute period