(variance) (Standard Deviation) C = Repeat the second item of part I: Given the modeling problem we started with, interpret E and in terms of how many years are the Hint: For computing these without directly manipulating the infinite summations that aWear in the definitions of E: X I and var:x: , let A betheeventthata is rolled on the first throw and A ' be the complementary event, namely. that a I is not rolled on the first throw. It is clear that E (XL A Since what is rolled afterthefirstroll is just like startinz over. It is also clear that E _ The Law of Total Expectation (see notes) gives: This makes it quite simple to find E : X : A similar "trick" can used to find . here nu will _ Apin,theLawofTotal Expectation gives: an d from this it is simple to compute Extra Instructions: Every item indicated by is an item you n-uJSt Address. P;rt I may be done in Excel Or by hand. Part 2 may be done by hand and then uploaded. The uploaded file must be a pdf. If you want to use Word that is good. but the mathematics must be correctly.