In order to vertically integrate, Smithson Computer Limited has decided to buy a firm which manufactures computer hard drives. Upon contacting the U.S. Dept of Commerce, Smithson finds that all U.S. hard drive manufactures are located in only three states. 45% of all hard drives manufactures are located in California, 25% in New Mexico, and the remainder in Nevada. Upon contacting the Departments of Commerce in these three states, Smithson finds that hard drive manfactures have one of three forms of legal organization - a proprietorship, a partnership, or a corporation. In California, 35% of hard drive manufacturers are organized as proprietorships, 45% as partnerships, and the remaineder as corporations. In New Mexico, 40% are proprietorships, and the remainder are corporations. Finally, in Nevada, there are no proprietorships, 42% partnerships, and the remainder corporations.

If Smithson randomly selects one hard drive manufacturer, what is the probability that:

The manufacturer is from California?

The manufacturer is the form of a proprietorship, and is from New Mexico?

The manufacturer is either from California, or has the form of a partnership, or both?

The firm is from New Mexico, given its form is a partnership

The firm is not a partnership, and is from either Nevada or New Mexico?