Extra Credit: (10 points) Must show your work.... You are the banker on the game show Deal or No Deal. After several cases are opened, the player is tempted by the Banker to accept an offer of cash in exchange for not continuing the game and possibly winning a larger sum of money. There are 8-suitcases left with the following amounts: $10, $500, $2000, $7500, $10,000, $70,000, $100,000, $1,000,000. The banker will offer the contestant 20% less than theexpected value.... what amount will the banker offer?

Here are rules of the game: https://en.wikipedia.org/wiki/Deal_or_No_Deal_(American_game_show)