Early life and education
She was born in Dhaka, Bangladesh. Her father, Golam Mustafa, was a film actor. Her mother was an actress, radio producer and playwright.
Mustafa was educated at three schools in Dhaka. She first attended the all-girls Viqarunnisa Noon School, after which she received a Secondary School Certificate. She then attended Holy Cross College, after which she received a Higher Secondary Certificate. She later received a master's degree in English with honors, from Dhaka University.