What of the following types of businesses is a mixture of private personal ownership and aspects of a corporation that separates the liability status of the person from the business?

The type of business you are describing is a Limited Liability Company (LLC). An LLC combines elements of both personal ownership and corporate structure, providing its owners, known as members, with limited liability protection. This means that members are typically not personally responsible for the debts and liabilities of the business, protecting their personal assets. Additionally, LLCs offer flexibility in management and taxation, making them a popular choice for small businesses.