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Let X be the amount of damage a particular company pays out (in $) for a...

Let X be the amount of damage a particular company pays out (in $) for a certain type of accident during a given year. Possible values of X are 0, 1000, 5000, and 10000, with probabilities .9, .1, .08, and .02, respectively. If the company wishes its expected profit to be $100, what premium amount should it charge?

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