A Stamford psychiatrist who fabricated a radiology report was fined $7,000 Tuesday and had her medical license placed on probation for six months by the state Medical Examining Board. At its meeting in Hartford Tuesday, the board also placed the medical license of a Hamden psychiatrist on probation for a year and ordered him to hire a psychiatrist to supervise his practice. The psychiatrist, Dr. Avijit Mitra, has already paid $55,000 in state and federal fines for improperly prescribing controlled substances to himself, his wife and others, state records show. In the first case, Dr. Anna Binder must also complete coursework in professional ethics and patients’ rights under a consent order she signed on March 31. The state Department of Public Health launched an investigation of Binder in October 2014 when Stamford Hospital reported that it had terminated its employment contract with her.