Question 14 (10 points) This is a long-answer question. You must show all work. The correct answer alone will receive NO marks. Consider the following probability density function of a continuous random variable of X: fx= 1 ax, 1 g x S 3 0, otherwise where a is a constant. Answer these three questions. Do not round your answers. (1) What is the value of a? (2) What is the expected value of X? (3) What is the median of X