A firm sends out two kinds of promotional facsimiles. One kind contains only text and requires 40 seconds to transmit each page, the other kind contains grayscale pictures that take 60 seconds per page, faxes can be 1, 2, 3 page long. Let random variable L represents the length of a fax in pages, S= {1, 2, 3}. Let the random variable T represents the time to send each page, ST= {40, 60}. After observing many fax transmissions, the firm derives the following joint probability model for L and T. t= 40 sec t= 60 sec 1= 1 page 0.15 0.1 1= 2 pages 0.3 0.2 1= 3 pages 0.15 0.1 i. Find E(L), E(T), Var(L), Var(T) ii. Verify whether E(LT)= E(L) E(T) or not