1. Suppose that you are offered the following "deal." You throw a dart at a dart board. If you hit the bullseye, you win $5. If you hit the large inner circle, you win $2. You have to pay $1 if you hit any other part of the board or you miss the board. The probability of hitting a bullseye is 10% (0.1), the probability of hitting the larger inner circle is 30% (0.3) and the probability for the rest of the board or if you miss is 60% (0.6).

a. (1 pt) In words, define the random variableX ______________________________

b. (1 pt) List the values thatXmay take onx= __________________________

c. (3 pts) Construct a PDF with columns forx, P(x) and x*P(x).