A business executive, transferred from Chicago to Atlanta, needs to sell their house in Chicago quickly. The executive's employer has offered to buy the house for $$305,000,$ but the offer expires at the end of the week. The executive does not currently have a better offer but can afford to leave the house on the market for another month. From conversations with their realtor, the executive believes the price they will get by leaving the house on the market for another month is uniformly distributed between $$300,000$ and $$320,000.$