1. A game costs $3 every time it is played. There is a 1 in 10 chance of winning $25, a 1 in 5 chance of winning $5 and a 7 in 10 chance of winning nothing. What is the expected value of the game?
2. X is a random variable with E(X) = 100 and V arinace(X) = 15. Find
(a) E(X2).
(b) E(3X + 10).
(c) E(-X).
(d) Variance (-X).
(e) Standard deviation of (-X).