In the question, three statements about the office of the Lok Sabha Speaker are given. Statement 1 is incorrect because the Speaker holds office during the life of the Lok Sabha, not at the pleasure of the President. Statement 2 is also incorrect; the Speaker has to be a member of the Lok Sabha at the time of his/her election, they cannot become a member within six months of being elected. As for Statement 3, it is correct. As per the Indian constitution`s procedure, if the Speaker of the Lok Sabha wishes to resign, they need to write a letter addressed to the Deputy Speaker. Therefore, only statement 3 is correct, which reflects in option 2.