(a) (b) Find E(Y). 11 The time, T, in minutes that a person takes to drive to work is uniformly distributed over * all the interval 30 to 40. The distance of the journey is 15 km. Let V denote the average speed in HOURS ' of the journey in km per hour. (a) Write down the relationship between T and V. TRICKY (b) Find the probability density function of V. (c) Find (i) the median (ii) the mean of V. .. 12 The object distance, U, and the image distance, V, for a concave mirror are related to the f by the formula