Is it possible to have reports that would be a subset of the respondents?

As well, for the reports, is it possible to have reports that would be a subset of the respondents, based on an answer. For example, we need to divide the respondents by musical genre. For example, I would like to create a report with just those who selected Folk as a genre. Is that possible? 

You can create reports for the submissions received on your JotForm. You may create HTML Table Listing, Grid Listing, Visual Reports, CSV, Excel reports. Please refer to the guide below that can help you in creating form reports.

https://www.jotform.com/help/326-How-To-Create-Form-Reports-in-JotForm

Once you have generated a report, you may filter the submissions from the submissions report. You may consider using Excel report to filter the submissions as per your requirement.

Hope this information helps! Let us know if you need any further assistance. We will be happy to assist.