PLEASE SHOW ALL WORK.

An investment in a new product has 4 possible annual benefits and 2 possible annual costs with the probabilities of each shown in the following table. Construct a joint probability distribution table of benefits costs. Which benefit cost is most likely? Which is the highest benefit - cost. The lowest benefit - cost? What is the expected return (annual benefit annual cost)?

Annual Benefits $4,000 $6,000 $10,000 $12,000 Prob 20% 25% 45% 10% Annual Costs $2,000 $3,000 Prob 70% 30%