Let X = damage incurred ($) in a certain type of accident. Possible X values are 0, 2000, 4000, and 9000, with probabilities .7, .15, .1, and .05 respectively. A particular company offers a $500 deductible policy, which means they do not pay the first $500 of any damage incurred. So if you have a $1000 accident, then they will pay for $1000 - $500 of it. If the company wishes its expected profit to be $100, what premium amount should it charge? The premium is what the insurance company charges you for buying insurance.