The random variable x is known to be uniformly distributed between 0.5 and 1.0. (a) Show the graph of the probability density function. The graph has a shaded area. The horizontal axis is labeled: x, and has tickmarks labeled: 0.5, 1, 1.5, 2, 2.5. The vertical axis is labeled: f(x), and has tickmarks labeled: 1, 2, 3. The shaded area is the region bounded by the horizontal axis and the following line segments. A 2 unit long vertical line segment begins at 0.5 on the horizontal axis. A 2 unit long vertical line segment begins at 1 on the horizontal axis. A 0.5 unit long horizontal line segment begins above the horizontal axis tickmark labeled 0.5 and to the right of the tickmark labeled 2 on the vertical axis. This line segment connects the two vertical line segments. The graph has a shaded area. The horizontal axis is labeled: x, and has tickmarks labeled: 0.5, 1, 1.5, 2, 2.5. The vertical axis is labeled: f(x), and has tickmarks labeled: 1, 2, 3. The shaded area is the region bounded by the horizontal axis and the following line segments. A 1 unit long vertical line segment begins at 0.5 on the