Anyone can if they have proper eyesight. Blind people can't see one and people with certain serious vision problems.
A total solar eclipse only occurs when there is a new moon.
If there is a total lunar eclipse, everybody sees it as total. If there is a total solar eclipse, only people in a small part of Earth see it as total - most will see it as a partial eclipse, or not at all.
More people can see a total lunar eclipse than a total solar eclipse because to see the complete solar eclipse you must be in a locations directly underneath it so your point of view and angle of the moon is correct. It doesn't matter as much as to where you are for a lunar eclipse...
It is as your question states, partial solar eclipse - the moon only blocks the sun off from earth partially. Total solar eclipse - the moon completely blocks the sun off from earth.
True.
By definition, they are the only ones that cannot see any part of the Sun as the Moon passes in front of it. As opposed to "penumbra"... or partial solar eclipse.
To see a total solar eclipse, yes. However, you need only be in the penumbra to see a partial eclipse.
In that case, a Solar Eclipse occurs. It can be a partial or total eclipse depending on the positions at the time of the eclipse. In total Solar Eclipses, the sun is completely blocked out for a short time in some parts of the world. Likewise, Earth's shadow falling on the Moon is known as a lunar eclipse.
People located within the path of totality, which is the narrow area where the total solar eclipse can be seen, will be able to observe it. This path can vary for each eclipse and location. Those outside the path will only see a partial eclipse.
Actually solar eclipses are slightly more common, but a solar eclipse, and especially the total phase, can only be seen in a relatively narrow strip of Earth.
Because a total lunar is seen from half the Earth simultaneously. A total solar is only seen along a strip of the Earth's surface that is less than 50 miles wide, which contains fewer people.
A total solar eclipse is visible only across a narrow path of the Earth's surface; generally no more than 200 miles across, and sometimes much less. A total lunar eclipse occurs on the Moon itself, and is visible from the entire night side of the Earth.