Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $10. If you roll a 3, 4 or 5, you win $3. Otherwise, you pay $6.

a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. Round to 4 decimal places where appropriate.

Probability Distribution TableXP(X)

b. Find the expected profit. $(Round to the nearest cent)