The probability distribution of a discrete random variable x is given by: p(x = −1) = 1 5 ,p(x = 0) = 2 5 and p(x = 1) = 2 5 (a) compute e[x]. (b) determine the probability distribution y = x 2 and use it to compute e[y ]. (c) determine e £ x 2 ¤ using the change-of-variable formula. (you should match your answer in part (b). (d) determine v ar (x).

What is the area of the original rectangle? 8 cm² 20 cm² 25 cm² 40 cm²

Sketch the vector field vector f( vector r ) = 8vector r in the xy-plane. select all that apply. the length of each vector is 8. the lengths of the vectors decrease as you move away from the origin. all the vectors point away from the origin. all the vectors point in the same direction. all the vectors point towards the origin. the lengths of the vectors increase as you move away from the origin.

Jack is considering a list of features and fees for current bank: jack plans on using network atms about 4 times per month. what would be jack’s total estimated annual fees for a checking account with direct paycheck deposit, one overdraft per year, and no 2nd copies of statements? a. $44 b. $104 c. $144 d. $176