The loss, in millions of dollars, due to a fire in a commercial building is a variable with density curve y = 1 − x/2 for 0 < x < 2, and y = 0 otherwise. Using the fact that the area of a triangle equals one-half its base times its height, we find that the area under this density curve to the left of any number x between 0 and 2 equals x − x2/4.
a. Graph the density curve of this variable.
b. What percentage of losses exceed $1.5 million?