Suppose that the strength, 8 of a particular plank on a Captain Hook's pirate ship can be modeled as a random variable with the following function S=5+2T2-W Where T is a random variable representing the thickness of the plank and W represents the width of the plank. Also, suppose that because these come from trees felled in Neverland, there is a relationship between the thickness of a plank and the width of the plank. Trees that can produce a wider board are also cut thicker. However, the wider the board, the more variance in the thickness, since some are used to make wooden swords. Lucky for you, Tinkerbell has been studying just the form of this relationship, and tells you that it is as follows: T N Uniform(min : 0,ma.zc : 2) W m Normalm : T/2,U : T/12) This means that if T : 1, the following is true: