Development Team responsibilities

Selecting the product Owner is not a responsibility of Development team. Development team should be able to monitor their own Productivity as they are self managing team.

Selecting the product owner is certainly not within the realm of responsibilities of the development team.

As far as monitoring productivity, the Scrum Team as a whole inspects itself during Sprint Retrospective to see if there are any improvements that can be made. So the entire team is responsible for monitoring its productivity.

Hi Dravid,

Selecting Product Owner: Vishal and Chris are right, I have nothing to add.

Monitoring Productivity: that's what the Development does during Daily Scrum - although the focus doesn't lie on what was done with what velocity but on what is done on the upcoming day and if the Sprint Goal can still be achieved.

Select the product owner: nothing to add.
MOnitor the productivity: the question is what you mean with this. if you mean the productivity of the dev. team, they are self organized and should do it as they feel comfortable with it.
If you mean the productivity of the increment (how good the software is performing outside there: this is the job of the PO. He is responsible for the ROI and the value added to the product.