The thickness X of a wooden shim (in mm) has probability density function





a. Find .

b. Find .

c. Let Y denote the thickness of a shim in inches (1 mm=0.0394 inches). Find and .



d. If three shims are selected independently and stacked one atop another, find the mean and variance of the total thickness.








(d) Let be the three thicknesses, in millimeters.

Then is the total thickness.

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