Ten thousand people each buy a lottery ticket. Each lottery ticket costs $1. 100 people are chosen as winners. Of those 100 people, 90 will win $3, 9 will win $100, and one lucky winner will win $6000. Let X denote the profit (profit = winnings - cost) of a randomly chosen player of this game. A. Give both the possible values and probability mass function for X.
B. Find P(X ≥ 100).
C. Compute E[X] and Var(X).