Final answer:
The Speaker of the House and the President Pro Tempore of the Senate are primarily responsible for setting the agenda for their respective chambers and have various leadership roles. They do not cast tie-breaking votes, select members, or report to the governor.
Step-by-step explanation:
The Speaker of the House and the President Pro Tempore of the Senate have several responsibilities within their respective chambers. One of their primary roles includes setting the agenda for their chambers, which involves determining which bills and issues will be discussed and when. Both positions also have leadership roles in their respective chambers, but only the Vice President, who serves as the President of the Senate, has the authority to cast the tie-breaking vote. Neither the Speaker nor the President Pro Tem have the role of casting tie-breaking votes as a regular responsibility, nor do they select and certify members or report to the governor on behalf of their chambers. The House and Senate are responsible for judging the qualifications of their own members as per Section 5, Clause 1 of the U.S. Constitution. Both the House and the Senate are in charge of establishing their own rules and may punish or expel members for disorderly behavior.