Yes. Schizophrenia runs in families. If one parent has it, the child has about a 10% risk. The risk of developing schizophrenia may go up as high as 50% if both parents are affected. Schizophrenia effects about 1% of the population. The most common age of onset of symptoms is in the late teens and early 20s.
Yes. Schizophrenia is partly predictable by genetics. That is, if one or both parents have schizophrenia, their children have a much higher risk, compared to the average population, of having it too. However, the risk is not 100%, so other factors besides genetics are apparently involved too. No one knows exactly why schizophrenia occurs.