Question: 1. On average, how many years would you expect a child to study ballet with this teacher? What does the column "P(x)" sum to and why? What does the column "x*P(x)" sum to and why
2. You are playing a game by drawing a card from a standard deck and replacing it. If the card is a face card, you win $30. If it is not a face card, you pay $2. There are 12 face cards in a deck of 52 cards. What is the expected value of playing the game?