Question: Let X be the inside length, Y be the inside width, and Z be the inside height of a box. Suppose μX = 20, μY = 15, and μZ = 12, while σX = .5, σY = .25, and σZ = .3. (All units are inches.) Assume inside height, inside width, and inside length are "unrelated" to one another.
(a) Find the mean area of the inside bottom of the box.
(b) Approximate the standard deviation of the area of the inside bottom of the box.
(c) Find the mean inside volume of the box.
(d) Approximate the standard deviation of the inside volume of the box.