In: Statistics and Probability
You work for an insurance company and you need to set price on a two-year warranty policy. The item of interest is a Dutch oven. Your boss wants the policy to generate $9 of profit. You do some research and find that with probability 0.1 the lid will need to be replaced and that will cost the company $80, and with probability 0.05 the pot will need to be replaced and that will cost the company $150. What should the price of the warranty be? Please show work.
Cost of replacement = 0.1*$80+ 0.05*$150
Cost of replacement = 8 + 7.5
Cost of replacement = $15.5
Now profit = $9
Price of policy = Cost of replacement + Profit
Price of policy = 15.5 + 9 = $24.5