The sum of two uniform (0, 1) random variables ( and median). Exercise 5.13 addressed the pdf

The sum of two uniform (0, 1) random variables (µ and median).

Exercise 5.13 addressed the pdf for the sum of two uniform (0,1)

random numbers (Figure 5.8).

(a) The expected value μ of a pdf can be visualized as its gravitational center—the point where the pdf would balance if put on a fulcrum. Use Figure 5.8 to determine the value of μ for this pdf.

(b) The median of a pdf is the point that cuts the area under the curve into two so that 0.50 of the area under the curve is to the right of this points and 0.50 is to its left. What is the median of the pdf displayed in Figure 5.8?