Every day, Darcy travels the same 40 km route to get to his work. Its velocity is a random variable V that depends on the conditions weather and traffic. Its density is of the form: f(v) = kvev v > 0 , 0 elsewhere. Darcy drives at an average speed of 80 km/h. 1. Determine the values of the constants k and . 2. The journey time is described by the variable T = 40/V. Determine the probability density and mathematical expectation of T