A continuous improvement has helped a company to raise savings with associated probabilities

shown in the table below. The useful life is $5$ years with a probability of $0\mathrm{.}7$ and $3$ years with

probability of $0\mathrm{.}3.$

i$.$ Determine the joint probability distribution for savings per year and useful life.

ii$.$ Determine the expected NPW if an investment of $$53,500$ is required. No salvage is

expected. Use a MARR of $9\%$

Hint: use the table below to answer the questions above

Expected Net Present Worth$=$ Total of the last column