Mara Jade also analyzes the severity from all claims that occurred over a one$-$year period, based on the following data:

Range of Loss Amount Midpoint Dollar Amount of Losses Number of Losses

$$1-$ $$7,999$ $$4,000120$

$$8,000-$ $$20,000$ $$14,00060$

Greater than $$20,000$ $$80,00020$

E$)$ Fill in the table and calculate the average severity.

F$)$ Use the inforormation in the table to estimate a probability distribution for the loss severity.

G$)$ Use convolution to find the average loss.