According to the Shi'a Muslims, the twelve Imams were all Ahl al-Bayt and never committed sins.

Al al-Bayt University was created in 1994.

Sitt al-Bayt was created in 1949.

bayt or al bayt.

Translation of House: Bayt (بيت)

In Arabic, the "of" is implied. For example, if you wanted to say the "House of Ahmed" you would translate it as "Bayt Ahmed" (بيت أحمد). This goes for both "House of" in the sense of a physical dwelling belonging to somebody or "House of" in the sense of a royal family, although royal families can also be called "Ahl" (أهل).