This week’s pop television appearances include Mariah Carey on TRL Tuesday and a slew of ‘American Idol’ judge appearances. Monday sees Simon Cowell appear on Live with Regis and Kelly and Late Night with David Letterman. Mr. Nasty will also appear with Randy Jackson and Paula Abdul on TRL on Monday. On Tuesday, look for Simon on The Daily Show with Jon Stewart, while Paula appears on The View as guest co-host. On Wednesday, look for the trio of judges on the Caroline Rhea Show, while Simon appears on Late Night with Conan O’Brien.