Transmigrating Into a Bastard Son of a Duke's Mansion to Take the Imperial Examination

[Time Travel + Bastard Son of Duke's Mansion + No System + Imperial Examination + Intrigue] I've traveled through time. The good news is that I've become a bastard son of Duke Wei's Mansion, with no worries about food, clothing, or livelihood. The bad news is that he's not only unpopular, but also ridiculed and looked down upon. Haha, don't despise a poor young man, and watch him study and take the imperial examination. Protagonist: Wei Yunzhou