Some of the managers at a company have an MBA degree. Of managers at the level of

Question:

Some of the managers at a company have an MBA degree. Of managers at the level of director or higher, 60% have an MBA. Among other managers of lower rank, 35% have an MBA. For this company, 15% of managers have a position at the level of director or higher. If you meet an MBA from this firm, what are the chances that this person is a director (or higher)?