The correct answer is: Only argument I is strong.
Argument I is strong because it provides a clear and specific reason why Doordarshan should be given autonomous status. The argument states that autonomous status would help Doordarshan to have fair and impartial coverage of all important events. This is a valid reason because it is in the public interest for Doordarshan to provide fair and impartial coverage of important events.
Argument II is weak because it is based on an assumption that is not supported by evidence. The argument states that if Doordarshan is given autonomous status, the coverage of events will be decided by a few who may not have a healthy outlook. This assumption is not supported by evidence. There is no evidence to suggest that the people who would decide the coverage of events if Doordarshan were given autonomous status would not have a healthy outlook.
In conclusion, only argument I is strong. Argument II is weak because it is based on an assumption that is not supported by evidence.