An electronics store gives customers the option of purchasing a protection plan when customers buy a new television. The customer pays $100 for the plan, and if their television is damaged or stops working, the store will replace it for no additional charge. The store knows that 4% of customers who buy this plan end up needing a replacement that costs the store $1,000 each.
Here is a table that summarizes the possible outcomes from the store's perspective:
replacement? Cost net gain (X)
yes $1,000 -$900
no $0 $100
Let X represent the store's net gain from one of these plans.
Calculate the expected net gain E(X).
E(X) = ____dollars