An electronics retailer offers an optional protection plan for a mobile phone it sells. Customers can choose to buy the protection plan for \$100$100dollar sign, 100, and in case of an accident, the customer pays a \$50$50dollar sign, 50 deductible and the retailer will cover the rest of the cost of that repair. The typical cost to the retailer is \$200$200dollar sign, 200 per repair, and the plan covers a maximum of 333 repairs. Let XXX be the number of repairs a randomly chosen customer uses under the protection plan, and let FFF be the retailer's profit from one of these protection plans. Based on data from all of its customers, here are the probability distributions of XXX and FFF: Calculate the mean of XX