Dan entered the police station and announced that he wanted to confess to a murder. The police advised Dan of the Miranda warnings, and Dan signed a written waiver. Dan described the murder in detail and pinpointed the location where a murder victim had been found a few weeks before. Later, a courtappointed psychiatrist determined that Dan was suffering from a serious mental illness that interfered with his ability to make rational choices and to understand his rights and that the psychosis had induced his confession. Dan's confession is 
admissible, because there was no coercive police conduct in obtaining Dan's statement.  admissible, because Dan was not in custody.  inadmissible, because Dan's confession was a product of his mental illness and was therefore involuntary.  inadmissible, because under these circumstances, there was no valid waiver of Miranda warnings. 