The child was sleeping beside her mother last night when an unidentified person allegedly took her away and raped her, they said.
This morning she was found crying while lying in a pool of blood. The victim has been admitted to Guru Teg Bahadur Hospital in Delhi, police said.
An FIR has been registered in this connection at Noida Phase Three Police Station and investigation is underway, they said, adding no one has been arrested yet.