The state Legislature has added another audit to the list of investigations into the California State Lottery, this one based on questions over whether the agency is giving enough money to schools as required by state law.

The department has been under scrutiny since employees alleged misconduct among senior executives in an anonymous letter last summer to former Gov. Jerry Brown. The state Justice Department has launched an investigation, and the State Controller’s Office has identified inappropriate spending on travel. Agency director Hugo Lopez resigned in June.