Chapter 4, Problem 36P

Use the following information to answer the next seven exercises: A ballet instructor is interested in knowing what percent of each year’s class will continue on to the next, so that she can plan what classes to offer. Over the years, she has established the following probability distribution.

Let X = the number of years a student will study ballet with the teacher.

Let P(x) = the probability that a student will study ballet x years.

You ate 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. Should you play the game?