False. Volcanoes and earthquakes occur in specific regions called tectonic plate boundaries, where the Earth's tectonic plates interact. These boundaries can be found both in the deep ocean as well as on land. The deepest part of the ocean is actually found in the ocean trenches, which are formed at subduction zones where one tectonic plate is forced beneath another. However, it is not accurate to say that volcanoes and earthquakes occur exclusively or primarily in the deepest parts of the ocean.
