Please capitalize where necessary: in 1962 greece was granted associate status in the ec and eventually (in 1984) gained full membership.
A: In 1962 Greece was granted associate status in the EC and eventually (in 1984) gained full membership.

Please capitalize where necessary: the games are totally random due to the random number generator and do not 'remember' when it hit last and does not predict when it will hit again. i have played at land based casinos and sat at a particular machine for hours several days in a row and it never hit.
A: The games are totally random due to the Random Number Generator and do not 'remember' when it hit last and does not predict when it will hit again. I have played at land based casinos and sat at a particular machine for hours several days in a row and it never hit.

Please capitalize where necessary: the study of continuous groups of transformations inaugurated by lie resulted in the developments by engel , killing , scheffers, schur , cartan , bianchi and fubini , a chapter which closed about the turn of the century.
A: The study of continuous groups of transformations inaugurated by Lie resulted in the developments by Engel , Killing , Scheffers, Schur , Cartan , Bianchi and Fubini , a chapter which closed about the turn of the century.

Please capitalize where necessary: 8:30 as he spake these words, many believed on him.
A:
8:30 As he spake these words, many believed on him.