Problem 5. (a) [5 pts] In a game you roll a die, if you get a 1 or a 4, you would win $7. If you roll a 2 you win $12 and

if you roll a 3, 5, or 6 you lose $10. What is the expected value of one roll of the die? (b) [5 pts] On Black Friday, a digital camera is on sale for $453.40. This is a 57% discount of the original

price. What is the original price? (Round to the nearest cent)