Tenants are generally entitled to peaceful possession of the property for the agreed lease term, timely resolution of structural or major repair issues, and a fair, documented process for deposit refund at the end of the tenancy.
In turn, tenants are typically responsible for paying rent on time, maintaining the property in reasonable condition, adhering to society rules if applicable, and giving proper notice before vacating.
Since specific rights can vary by state and by the terms of your individual agreement, it is worth reading your rental agreement carefully rather than assuming standard practice applies universally.