on a popular fictional game show, contestants are given the opportunity to win money by reaching into a bag after being blindfolded and selecting a chip with a dollar amount written on it. assume all chips are identical. the bag contains four chips with a $0 amount, six chips with $1, five chips with $5, two chips with $10, and one chip with $100. the chips are mixed in the bag before the contestant draws their chip. a. construct a probability mass function (pmf) for x, the dollar amount won by a contestant in this game. b. what is the expected value for x?