I read on a website that if a person brings a TV at home, so whenever his family sees movies or listen to music, song and dance and al faahisha, the person who brought this at home will get gunaah for sin even after his death.

Is this statement correct? As per my understanding every person is responsible for their own act so how the negative use of TV or computer or any gadget a person buys and hand over to family, he/she is responsible for the misuse?

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Every person is responsible of his own act and its effects on person or group or family or society. Ao he is indeed responsible for all his good and bad acts.